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> Long Division with a Remainder  < you are here
Long Division with a Remainder  
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Some times the divisor does not go evenly into
the dividend. These are known as remainders.
Example: 13 ÷ 4 = ?
Write the answer using "r"
for remainder
Example-2: Solve the problem using long division.
66 ÷ 5 = ?
Change the way the problem is written.

How many times 5 will go into 6.  1  times, So,
put the 1 right above the 6.
Multiply the 5 and 1 and put the answer right
under the 6.     5 x 1 = 5
Subtraction 5 from 6 and put the answer right
under the 5.    6 - 5 = 1
Bring down the 6, now
we have 16.

How many times 5 will go into 16...  5 goes into 16 three times...  
So, we put that 3 right above the 6.
Now multiply 3 x 5 = 15
Put the 15 under the 16
and subtract 15 from 16 = 1

Put the 1 under the 15.
(The 1 will be the remainder).
Answer:  66 ÷ 5 = 13  R1
answer
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