What is 759 Divided by 33 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 759 by 33 using long division and be able to apply the same technique to any other long division problem you have! Let's take a look.

Want to quickly learn or show students how to solve 759 divided by 33 using long division? Play this very quick and fun video now!

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

  • The first number, 759, is called the dividend.
  • The second number, 33 is called the divisor.

What we'll do here is break down each step of the long division process for 759 divided by 33 and explain each of them so you understand exactly what is going on.

759 divided by 33 step-by-step guide

Step 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

33759

Step 2

We can work out that the divisor (33) goes into the first digit of the dividend (7), 0 time(s). Now we know that, we can put 0 at the top:

0
33759

Step 3

If we multiply the divisor by the result in the previous step (33 x 0 = 0), we can now add that answer below the dividend:

0
33759
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (7 - 0 = 7) and write that answer below:

0
33759
-0
7

Step 5

Move the second digit of the dividend (5) down like so:

0
33759
-0
75

Step 6

The divisor (33) goes into the bottom number (75), 2 time(s), so we can put 2 on top:

02
33759
-0
75

Step 7

If we multiply the divisor by the result in the previous step (33 x 2 = 66), we can now add that answer below the dividend:

02
33759
-0
75
66

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (75 - 66 = 9) and write that answer below:

02
33759
-0
75
-66
9

Step 9

Move the third digit of the dividend (9) down like so:

02
33759
-0
75
-66
99

Step 10

The divisor (33) goes into the bottom number (99), 3 time(s), so we can put 3 on top:

023
33759
-0
75
-66
99

Step 11

If we multiply the divisor by the result in the previous step (33 x 3 = 99), we can now add that answer below the dividend:

023
33759
-0
75
-66
99
99

Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (99 - 99 = 0) and write that answer below:

023
33759
-0
75
-66
99
-99
0

So, what is the answer to 759 divided by 33?

If you made it this far into the tutorial, well done! There are no more digits to move down from the dividend, which means we have completed the long division problem.

Your answer is the top number, and any remainder will be the bottom number. So, for 759 divided by 33, the final solution is:

23

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 759 divided by 33, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 759 divided by 33, you'd get 23.
  • You could also express 759/33 as a mixed fraction: 23 0/33
  • If you look at the mixed fraction 23 0/33, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (33), and the whole number is our final answer (23).

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What is 759 divided by 34 using long division?

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What is 759 Divided by 33 Using Long Division? (2024)

FAQs

How do you divide by the long division method? ›

Long Division Steps

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor. Step 2: Then divide it by the divisor and write the answer on top as the quotient. Step 3: Subtract the result from the digit and write the difference below.

What is 8 divided by 712 in long division? ›

Expert-Verified Answer

The problem 8 divided by 712 in long division results in approximately 0.0112. This is achieved by setting up the long division where 712 (the divisor) is larger than 8 (the dividend), leading to a decimal result.

What is 19780 divided by 23 long division? ›

The quotient is 6, and the remainder is 0. Thus, the result of is 860 with a remainder of 0. So, 19780 divided by 23 equals 860, with no remainder.

What is the long division of 41 divided by 533? ›

Final answer:

The answer to the long division of 533 by 41 is 13. This is reached by multiplying 13 by 41 which results in 533, the original dividend. The remainder is 0.

What is a long division example? ›

You could use long division for 180 ÷ 12 as we're dividing by two digits, but in this case it could be just as simple to use multiples of 12 to work it out. We know 12 x 5 = 60, and there are 3 lots of 60 in 180, so there must be 15 lots of 12 in 180. The answer is therefore 15 trays.

Can 712 be divided? ›

Factors of 712 are the list of integers that we can split evenly into 712. There are overall 8 factors of 712 among which 712 is the biggest factor and its positive factors are 1, 2, 4, 8, 89, 178, 356, 712. The Prime Factors and Pair Factors of 712 are 2 × 89 and (1, 712), (2, 356), (4, 178), (8, 89) respectively.

Is 712 divisible by 8? ›

Let's check whether 712 is divisible by 8 or not? Remainder = 0 , therefore, 712 is divisible by 8.

What is 28 divided by 3 long division? ›

The result of division of 28÷3 28 ÷ 3 is 9 with a remainder of 1 .

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The result of division of 764÷23 764 ÷ 23 is 33 with a remainder of 5 .

What is the long division of 2876 44? ›

Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (5) by the divisor 44 . Subtract 220 from 236 . The result of division of 2876÷44 2876 ÷ 44 is 65 with a remainder of 16 .

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The calculation of 2456/32 using the long division method gives the quotient as 76.75. Step 1 : The current divisor is 2456 and the current quotient is 0. The first 2 digits of the Dividend i.e. 24 is less than the Divisor.

What is 38 divided by 3 long division? ›

Answer and Explanation:

38 divided by 3 is equal to 12 2/3 or 12.66666..., where the sixes go on forever past the decimal point. In general, the quotient, q, of the division problem a ÷ 3 is equal to the number of times 3 fits into a evenly. The remainder, r, is what's left over after 3 has fit into a q times.

What are the four steps in order to long division? ›

For long division problems, remember to follow the divide, multiply, subtract, and drop down process until each digit in the dividend has been divided.

What is the easy division trick for large numbers? ›

Another useful technique to divide large numbers mentally is to use halving and doubling, which is based on the fact that dividing by 2 is the same as multiplying by 0.5, and vice versa. For example, if you want to divide 720 by 24, you can halve both numbers until you get an easier division.

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