What is 10 divided by 4 with a remainder?

Answer 1

Here we will show you step-by-step with detailed explanation how to calculate 10 divided by 4 using long division.

Before you continue, note that in the problem 10 divided by 4, the numbers are defined as follows:

10 = dividend

4 = divisor

Step 1:

Start by setting it up with the divisor 4 on the left side and the dividend 10 on the right side like this:

 	4	⟌	1	0	 

Step 2:

The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

 	 	 	0	 	 

 	4	⟌	1	0	 

Step 3:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

 	 	 	0	 	 

 	4	⟌	1	0	 

 	 	 	0	 	 

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

 	 	 	0	 	 

 	4	⟌	1	0	 

 	 	-	0	 	 

 	 	 	1	 	 

Step 5:

Move down the 2nd digit of the dividend (0) like this:

 	 	 	0	 	 

 	4	⟌	1	0	 

 	 	-	0	 	 

 	 	 	1	0	 

Step 6:

The divisor (4) goes into the bottom number (10), 2 time(s). Therefore, put 2 on top:

 	 	 	0	2	 

 	4	⟌	1	0	 

 	 	-	0	 	 

 	 	 	1	0	 

Step 7:

Multiply the divisor by the result in the previous step (4 x 2 = 8) and write that answer at the bottom:

 	 	 	0	2	 

 	4	⟌	1	0	 

 	 	-	0	 	 

 	 	 	1	0	 

 	 		 	8	 

Step 8:

Subtract the result in the previous step from the number written above it. (10 - 8 = 2) and write the answer at the bottom.

 	 	 	0	2	 

 	4	⟌	1	0	 

 	 	-	0	 	 

 	 	 	1	0	 

 	 	-	 	8	 

 	 	 	 	2	 

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 10 divided by 4 calculated using Long Division is:

2

2 Remainder

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More Information

If you enter 10 divided by 4 into a calculator, you will get:

2.5

The answer to 10 divided by 4 can also be written as a mixed fraction as follows:

2 2/4

Note that the numerator in the fraction above is the remainder and the denominator is the divisor.

How to calculate 10 divided by 5 using long division

Here is the next division problem we solved with long division.

So it' 2 with a remainder of 2.

Answer 2

2.5

Answer 3

2 and r = 2