What is 44 Divided by 6 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 44 by 6 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 44 divided by 6 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, 44, is called the dividend.
  • The second number, 6 is called the divisor.

What we'll do here is break down each step of the long division process for 44 divided by 6 and explain each of them so you understand exactly what is going on.

44 divided by 6 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:

644

Step 2

We can work out that the divisor (6) goes into the first digit of the dividend (4), 0 time(s). Now we know that, we can put 0 at the top:

0
644

Step 3

If we multiply the divisor by the result in the previous step (6 x 0 = 0), we can now add that answer below the dividend:

0
644
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (4 - 0 = 4) and write that answer below:

0
644
-0
4

Step 5

Move the second digit of the dividend (4) down like so:

0
644
-0
44

Step 6

The divisor (6) goes into the bottom number (44), 7 time(s), so we can put 7 on top:

07
644
-0
44

Step 7

If we multiply the divisor by the result in the previous step (6 x 7 = 42), we can now add that answer below the dividend:

07
644
-0
44
42

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (44 - 42 = 2) and write that answer below:

07
644
-0
44
-42
2

So, what is the answer to 44 divided by 6?

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 44 divided by 6, the final solution is:

7

Remainder 2

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Extra calculations for you

Now you've learned the long division approach to 44 divided by 6, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 44 divided by 6, you'd get 7.3333.
  • You could also express 44/6 as a mixed fraction: 7 2/6
  • If you look at the mixed fraction 7 2/6, you'll see that the numerator is the same as the remainder (2), the denominator is our original divisor (6), and the whole number is our final answer (7).

Long Division Calculator

Enter another long division problem to solve

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What is 44 divided by 7 using long division?

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What is 44 Divided by 6 Using Long Division? (2024)

FAQs

What is the division of 44? ›

Factors of 44 = 1, 2, 4, 11, 22, 44.

What is the division of 42 by 6? ›

42 divided by 6 is 7.

What is the formula for the division method? ›

Division Math Formula

The formula to calculate the division of two numbers is: Dividend ÷ Divisor = Quotient + Remainder. The remainder is the leftover number in the division operation. If 46 is divided by 5, we get the quotient as 9 and the remainder 1.

What's divisible by 44? ›

For a number to be divisible by 44, it should be divisible by 4 and 11.

What are the factors of 44 by division method? ›

The factors of 44 are the numbers that divide 44 exactly with no remainder. Since the number 44 is an even composite, it has many factors other than 1 and 44. There are 6 factors in 44. As a result, the factors of 44 are 1, 2, 4, 11, 22, and 44.

What can be divided to get 44? ›

Factors of 44
FactorsFactor pairsPrime factorization
1, 2, 4, 11, 22, 44(1, 44), (2, 22), (4, 11)44 = \(2\times2\times11\)

What is long division grade 6? ›

In Math, long division is the mathematical method for dividing large numbers into smaller groups or parts. It helps to break down a problem into simple and easy steps. The long divisions have dividends, divisors, quotients, and remainders.

What is 75 divided by 4 in long division? ›

Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (8) by the divisor 4 . Subtract 32 from 35 . The result of division of 75÷4 75 ÷ 4 is 18 with a remainder of 3 .

How do you solve 56 divided by 6? ›

56 divided by 6 is equal to 9 with a remainder of 2: 56 / 6 = 9 R.

What is the division of 46 6? ›

The result of division of 46÷6 46 ÷ 6 is 7 with a remainder of 4 .

What is the division of 41 6? ›

41 ÷ 6 = 6 with a remainder of 5.

How to divide large numbers quickly? ›

A fourth method to divide large numbers mentally is to use chunking, which is a way of breaking down the large number into smaller parts or chunks that are easy to divide by the divisor. For example, if you want to divide 1548 by 12, you can use chunking to split 1548 into two chunks: 1200 and 348.

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