The inverse operation for division is multiplication. This is because division undoes the effect of multiplication. When we divide a number by another number, we are essentially finding out how many times the second number can fit into the first number. Multiplication, on the other hand, is the process of adding a number to itself a certain number of times. So, if we multiply the quotient obtained from division by the divisor, we get back the original dividend, which shows that multiplication is the inverse operation for division.