Quotient

Determine the quotient (q) and the remainder (r) from division numbers 100 and 8. Take the test of correctness.

Result

q =  12
r =  4

Solution:

100=8 q+r;q,rN q=100/8=12100=8 \ q + r; q,r \in N \ \\ q=\lfloor 100/8 \rfloor=12
r=1008 q=1008 12=4 x=8 q+r=8 12+4=100  r=4r=100 - 8 \cdot \ q=100 - 8 \cdot \ 12=4 \ \\ x=8 \cdot \ q + r=8 \cdot \ 12 + 4=100 \ \\ \ \\ r=4



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