Remainders

Here is how to handle remainders:

Dividing by 1

There is never a remainder when dividing by 1

Dividing by 2

When dividing by 2, even numbers have no remainders, odd numbers have a remainder of 1.

Dividing by 3

When dividing by 3, add up the digits in the number, then find the remainder of the sum when divided by 3. For example, find the remainder of 734762 ÷ 3. The sum of the digits is 7+3+4+7+6+2 = 29, and the remainder of 29 ÷ 3 is 2.

Dividing by 4

When finding the remainder of a big number divided by 4, drop off all but the last two digits and find the remainder for those last two digits. For example, the remainder of 2376452 ÷ 4 (think: drop off all but 52. The remainder of 52 ÷ 4 is 0.

Dividing by 5

Look only at the last digit of the number, and find the remainder of that digit ÷ 5.

Dividing by 9

Similar to remainders of 3 (above).Add up the digits in the number and find the remainder of the sum when divided by 9. That is your answer. For example, find the remainder of 737762 ÷ 9. The sum of the digits is 7+3+7+7+6+2 = 32, and the remainder of 32 ÷ 9 is 5.

Dividing by 10

Look only at the last digit of the number. That's the remainder!.

Practice.

Here are some problems. See how quickly you can do them. If they don't fit the rule, put down an X for the answer. You can use the timer on the right to see how fast you are! (The timer will start when you press a key)

TIME: 0

Remainder of 97225 ÷ 3 =  

Remainder of 6214 ÷ 2 =  

Remainder of 1234567 ÷ 4 =  

Remainder of 555552 ÷ 5 =  

Remainder of 235346 ÷ 3 =  

Remainder of 12345232 ÷ 10 =  

Remainder of 953453 ÷ 2 =  

Remainder of 2156825 ÷ 4 =  

TIME: 0