#### Division - Parts and How It Works

30 divided by 5 = 6

30 ----

5 ----

6 ----

So, five friends sharing 30 pieces of candy would receive how many pieces of candy?

Thirty pieces of candy represent the "big" group. Five friends represent how many groups to form.

Thus, a one group of 30 would result in six pieces of candy for each friend.

In the next example, the division is not perfect.

For example,

Say "42" and write "42".

Say "divided by"; write the radical to "house" the number you just wrote.

Say "6"; then write "6" outside the radical.

Many students reverse these numbers. Hopefully, this math tip will eliminate this common math error.

Debra has 29 miniature balls in her collection. She tried to put them in one jar with no success. She determined that only 5 miniature balls would fit in the jar. Also, Debra would like to display them in the same type of jar. So, how many more jars does she need to buy?

The large group is 29. Also, this is the dividend.

In this particular problem, the 5 (the divisor) does not represent the group. Instead, the five tells how many bears are in each jar. The jar represents the group.

The division sentence would be written as

Since division is repeated subtraction, we can subtract 5 until we cannot do so anymore. Then, count how many times 5 were subtracted from 29.

29 ¨C 5 = 24

24 ¨C 5 = 19

19 ¨C 5 = 14

14 ¨C 5 = 9

9 ¨C 5 = 4

Five was subtracted from 29, five times. After the fifth subtraction, there were only four left and not enough to subtract another five. Thus, 29 / 5 equal 5 with remainder 4.

30 ----

**Dividend**- represents the big group that you want to divide into smaller groups5 ----

**Divisor**¨C tells how many groups or items to place in each group6 ----

**Quotient**¨C the answer to the divisionSo, five friends sharing 30 pieces of candy would receive how many pieces of candy?

Thirty pieces of candy represent the "big" group. Five friends represent how many groups to form.

Thus, a one group of 30 would result in six pieces of candy for each friend.

In the next example, the division is not perfect.

**Remainder:**30 divided 4 = 7, with 2 left over (The "left over" is called the remainder.) in other words, there was not enough items to make another group.**Fractions represent division too.**For example,

42/6would read as "forty-two divided by six". In order to rewrite the fraction as a long division problem, write as you speak.

Say "42" and write "42".

Say "divided by"; write the radical to "house" the number you just wrote.

Say "6"; then write "6" outside the radical.

Many students reverse these numbers. Hopefully, this math tip will eliminate this common math error.

**Example:**Debra has 29 miniature balls in her collection. She tried to put them in one jar with no success. She determined that only 5 miniature balls would fit in the jar. Also, Debra would like to display them in the same type of jar. So, how many more jars does she need to buy?

The large group is 29. Also, this is the dividend.

In this particular problem, the 5 (the divisor) does not represent the group. Instead, the five tells how many bears are in each jar. The jar represents the group.

The division sentence would be written as

29 / 5.

Since division is repeated subtraction, we can subtract 5 until we cannot do so anymore. Then, count how many times 5 were subtracted from 29.

29 ¨C 5 = 24

24 ¨C 5 = 19

19 ¨C 5 = 14

14 ¨C 5 = 9

9 ¨C 5 = 4

Five was subtracted from 29, five times. After the fifth subtraction, there were only four left and not enough to subtract another five. Thus, 29 / 5 equal 5 with remainder 4.

**You Should Also Read:**

How to Explain Division

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