How to share with the rest

How to share with the rest

Sometimes natural number a is not divided totally into natural number b, that is there is no such number k that there was true an equality of a = bk. So-called division with remainder is in that case applied.

Instruction

1. Imagine a situation: Father Frost presented to six children of 27 tangerines. They wanted to divide tangerines equally, but it he did not manage to be made as 27 is not divided into six. But 24 is divided into six. Each child, thus, gets about 4 tangerines, and three more tangerines remain. These three tangerines are also the rest. Number 27 contains 4 times on 6 moreover 3.

2. Number 27 here a dividend, 6 – a divider, 4 – incomplete private, and 3 – the rest. The rest is always less than divider: 3 <6. If tangerines remained more, than children, they could divide further them among themselves until there is no tangerine left too little to divide them equally.

3. Thus, if you need to divide with rest what - either unambiguous or two-digit number a into unambiguous or two-digit number b, find number c, the next to number a (but not exceeding it) which would be divided into number b without the rest. The rest will be equal to a difference between number an and c.

4. The rest can be more than zero or is equal to zero. If the rest is equal to zero, say that number a is divided into number b totally, that is without the rest.

5. If you deal with more difficult, for example, with three-digit numbers, execute division by a column.

Author: «MirrorInfo» Dream Team


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