Quandaries and Queries


My 10 year old had a homework question that I am ashamed I can't figure how to start. The problem reads

When dividing a 3-digit number by a 1-digit number, for what divisors can you get a remainder of 8?

I haven't been out of school that long but this dumbfounds me for some reason. Thank you for any help.




When you divide, the remainder must be less than the divisor. For example if you divide 7 into 36 you could try 4 as the dividend. 4 time 7 is 28 giving a remainder of 8, which is larger than 7, so you know that the divident should be at least 5. Thus if the remainder is 8 then the divisor must be more than 8, so it must be 9.


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