Question

sven divided 986 by 26 using partial quotients. Explain how sven used the partial quotient stratagy to solve thos divisoin problem.

Answer 1

To use the partial quotient strategy:

The main idea is to subtract from the dividend (the number 986) an easy multiple (x10, x5, etc.) of the divisor (the divisor is 26).

In Sven's case:

• He began with 10 x 26 and ,used it three times.

,

• Since the leftover (206) was less than (10 x 26), he used a lesser multiple (7 x 26 = 182).

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• He did this until the leftover is less than 26.

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• Next, he added all the multipliers of 26:

`10+10+10+7=37`

Therefore:

`986/26=37\; R\; 24`