Reconstructing a division problem like we are doing is like doing division in reverse. Multiplication is the reverse process of division and so that's why multiplication helps us to solve these problems.
___ / 12 = 12 r5 CONVERT INTO A MULTIPLICATION PROBLEM: 12 x 12 + 5 = ____ ANSWER: 149
22 r7 +-------- 15 | ??? CONVERT INTO A MULTIPLICATION PROBLEM: 15 x 22 + 7 = _____ ANSWER: 337