875 ÷ 25
Today we'll divide eight hundred seventy-five by twenty-five. Two-digit divisors look tricky, but the same long-division steps still work.
We write twenty-five outside the long-division house and eight seventy-five inside.
First, let's estimate. Twenty-five is close to thirty, and nine hundred divided by thirty is thirty. So our answer should be near thirty.
Twenty-five doesn't fit into eight, so we look at eighty-seven. How many twenty-fives fit inside eighty-seven?
Three! Three times twenty-five is seventy-five, and four would be a hundred — too big. Write three on top, above the seven.
Now multiply: three times twenty-five is seventy-five. Write seventy-five underneath eighty-seven.
Subtract: eighty-seven minus seventy-five is twelve.
Bring down the next digit, the five. Now we have one hundred twenty-five.
How many twenty-fives fit inside one hundred twenty-five?
Exactly five. Write five on top, above the last digit.
Multiply: five times twenty-five is one hundred twenty-five.
One twenty-five minus one twenty-five is zero. No remainder.
Eight hundred seventy-five divided by twenty-five is thirty-five. And our estimate of about thirty was close — so we know our answer is reasonable.