Find the quotient and remainder 975 divided by 17

975 / 17 = 57 R 6

Step-by-step explanation:

To get a good starting point, let's round these values to "nicer" numbers. 975 is close to 1000, and 17 is close to 20, and 1000 / 20 = 50, so let's start by looking at 17 x 50 and go from there.

There are a few ways to calculate 17 x 50, but here I'm gonna go off what we already know: 20 x 50 = 1000, and 20 - 3 = 17, so 17 x 50 = 20 x 50 - 3 x 50, or 1000 - 150, which is 850. How many more 17s can we fit from 850 to 975? Well, the difference between the two numbers is 125, so finding the quotient of 125 and 17 should be enough: 17 fits into 125 7 times, with 6 remaining.

Altogether then, 975 / 17 has a quotient of 50 + 7 = 57, and a remainder of 6.