Divide with decimal quotient

Dividing a decimal by a whole number is ordinary long division with one extra rule: the point in the quotient sits straight above the point in the dividend. Once it is placed, your child divides as usual and the point takes care of itself.

The worked example shows a second idea. In 2.496 ÷ 5 the division does not end at the last digit, so a zero is written to make 2.4960, and the quotient becomes 0.4992. The multiple-choice part then asks for rounding a quotient to the nearest ten-thousandth and for 956.5 ÷ 3, which repeats forever.

The standard is 6.NS.B.3: divide multi-digit decimals fluently with the standard algorithm.

Hand your child the pencil for 475.8 ÷ 6 and ask one thing before any digit appears: "Where does the point go in the answer?" Let them mark it above the bracket. Then the division runs, 47, then 55, then 18.

The likely slip lives in the example. Kids stop at 2.496 because the digits ran out, and a remainder of 1 is left hanging. Ask, "Can you add a zero without changing the number?" They will find that 2.496 and 2.4960 are the same amount.

In question 4, a quick estimate helps more than long division. 956.5 ÷ 3 is about 300, so choices like 9,913.22 are out in seconds.

Next time a pizza order comes to $47.58 for six people, let your child divide it out, then multiply the share by 6 to check that nothing went missing.

With a ball of string, cut 2.5 meters into 4 equal lengths and measure one. Is it really 0.625 meters?

Full House: An Invitation to Fractions by Dayle Ann Dodds follows an innkeeper and her guests sharing one cake in equal slices, a gentle way to talk about fair shares before the decimals come back.

When the last bracket is done, tell them, "You placed the point first and never lost it." The next sheet puts the same division into word problems about a drive, apples, a runner, and watermelons.