Dividing A Decimal By A Counting Number

Share 9.5 kg of sugar into 4 bags and find 0.06 ÷ 5 with long division, placing the point before the tenths.

5 micro-lessons

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Same Long Division, Decimal Start

When the dividend already has tenths, place the point before sharing them.

Dividing a decimal by a counting number uses the same place-by-place sharing.

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Examples 10 and 11 solved by long division.

Problem 1. A shopkeeper packs 9.5 kg of sugar equally into 4 bags. How much is in each bag? (Textbook p. 82, Example 10)

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Share the ones, place the point, keep regrouping.

Dividing a decimal by a counting number

9.5 \div 4 = 2.375

What each part means

Ones

— share first; write 0 if there are none to share

point

— written when you reach the Tenths

leftovers

— regroup into the next smaller place

When it works

Keep going until the remainder is 0.

Example

0.06 \div 5 = 0.012

Divide 132 and 126 and their decimal versions.

0 of 10 blanks filled

Figure it Out, Textbook p. 83, Q3 and Q4.

132 ÷ 4 = , 13.2 ÷ 4 = , 1.32 ÷ 4 = , 0.132 ÷ 4 =

126 ÷ 8 = , 12.6 ÷ 8 = , 1.26 ÷ 8 = , 0.126 ÷ 8 = , 0.0126 ÷ 8 =

Pattern: when the dividend is divided by 10, the quotient is divided by .

Sharing word problems with decimal answers.

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A 4 m block of wood is cut into 5 equal pieces. How long is each? (Textbook p. 87, Q6)