“I know 6 6 = 36 Chocos, so there can be 6 more packages of Chocos.”

“So altogether, they made 66 packages of 6 Chocos. I write the quotient 66 on top so I can easily see my answer. The numbers on the side are the partial quotients.”

Checking Division with Multiplication

“Let's check Lee Yah's answer,” said Romesh. “She found that from 396 Chocos, they could make 66 packages with 6 Chocos in each package. I think of the packages in a big array with 6 Chocos in each row, like this:
“There would be 66 6 Chocos if I filled in the array.” Romesh continued. “If 66 packages is the correct answer to Lee Yah's division problem, then 66 6 should equal 396, since that is the number of Chocos they put into packages. Let's multiply to make sure.”

Romesh multiplied using
the partial products method.

Jerome multiplied using
the compact method.

“We got 396—that is the number of Chocos Lee Yah started with. So I agree that her division answer must have been correct.”

As Romesh showed, a good way to check your answer to a division problem is to multiply the quotient by the divisor and see if you get the number divided, the dividend.