Repeated subtraction represents division by removing equal groups of the divisor from a dividend; the number of complete subtractions is the quotient, and any amount left is the remainder, which must be less than the divisor. A number line or equal-groups model makes clear that division asks how many groups fit or how many are in each group, and connects to multiplication as an inverse operation. The scope is whole-number dividends within 100 and one-digit divisors, not larger-number algorithms or generalized division.
Repeated subtraction means taking away equal groups of the divisor until you cannot take away another complete group.
Example: Find .
The divisor is , so subtract groups of from :
That is 1 group of .
That is 2 groups of .
That is 3 groups of .
That is 4 groups of .
Now is left. We cannot subtract another because is less than .
So, has 4 complete groups of , with 1 left over:
The quotient is , and the remainder is . Check that the remainder is less than the divisor: .
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