Dividing small numbers by large numbers: 60 divided by 105 and 17 divide by 234

[Illtry]

How do you solve 60 divided by 105 and 17 divide by 234. Small numbers by large numbers. Without a calculator. Long division method or short division method. Thank you

 

[Deleted member 4993]

How do you solve 60 divided by 105 and 17 divide by 234. Small numbers by large numbers. Without a calculator. Long division method or short division method. Thank you

When both the numerator and the denominators are composite numbers, I quickly check whether common factors can be eliminated. For example,

(60)/(105) = (3 * 5 * 4)/(3 * 5 * 7) = 4/7 = 0.571428 (repeat) .... by long mental division

for 17/234 .... we do not have any common factor.

So,

17/234 = 0.0726... long paper-pencil division

I do not know anything about short-division method.

 

[lookagain]

4/7 = 0.571428 (repeat) .... by long mental division

So,

17/234 = 0.0726... long paper-pencil division

Illtry, I expect you would be using the latter method, because 1) the former
method is more likely to trip you up and 2) you won't have a paper record to see
where you went wrong in the division.