Division

Division

How to divide a three digit number by a one digit number (e.g 413 ÷ 7).

* Place the divisor before the division bracket and place the dividend (413) under it.



7)413

* Examine the first digit of the dividend(4). It is smaller than 7 so it can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7's it contains. In this case 41 holds five sevens (5*7=35) but not six (6*7=42). Place the 5 above the division bracket.


5
7)413

* Multiply the 5 by 7 and place the result (35) below the 41 of the dividend.


5
7)413
35

* Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 3 from the 413 and place it to the right of the 6.


5
7)413
35
63

* Divide 63 by 7 and place that answer above the division bracket to the right of the five.


59
7)413
35
63

* Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the 63 under the dividend. Subtract 63 from 63 to give an answer of 0. This indicates that there is nothing left over and 7 can be evenly divided into 413 to produce a quotient of 59.


59
7)413
35
63
63
0


How to divide a three digit number by a one digit number (e.g. 416 ÷ 7).

* Place the divisor before the division bracket and place the dividend (416) under it.



7)416

* Examine the first digit of the dividend(4). It is smaller than 7 so it can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7's it contains. In this case 41 holds five sevens (5*7=35) but not six (6*7=42). Place the 5 above the division bracket.


5
7)416

* Multiply the 5 by 7 and place the result (35) below the 41 of the dividend.


5
7)416
35

* Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 6 from the 416 and place it to the right of the other 6.


5
7)416
35
66

* Divide 66 by 7 and place that answer above the division bracket to the right of the five.


59
7)416
35
66

* Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the 66. Subtract 63 from 66 to give an answer of 3. The number 3 is called the remainder and indicates that there were three left over.


59 R 3
7)416
35
66
63
3


Division

Dividing a three digit number by a one digit number (for example 416 ÷ 7) involves several steps.

* Place the divisor before the division bracket and place the dividend (416) under it.



7)416

* Examine the first digit of the dividend(4). It is smaller than 7 so can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7's it contains. In this case 41 holds five sevens (5*7=35) but not six (6*7=42). Place the 5 above the division bracket.


5
7)416

* Multiply the 5 by 7 and place the result (35) below the 41 of the dividend.


5
7)416
35

* Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 6 from the 416 and place it to the right of the other 6.


5
7)416
35
66

* Divide 66 by 7 and place that answer above the division bracket to the right of the five.


59
7)416
35
66

* Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the 66. Subtract 63 from 66 to give an answer of 3. The number 3 is called the remainder and indicates that there were three left over.


59 R 3
7)416
35
66
63
3

Division

An equation is a mathematical statement such that the expression on the left side of the equals sign (=) has the same value as the expression on the right side. An example of an equation is 72 ÷ 8 = 9.

One of the terms in an equation may not be known and needs to be determined. The unknown term may be represented by a letter such as x. (e.g. x ÷ 8 = 9).

The solution of an equation is finding the value of the unknown x. Use the multiplication property of equations to find the value of x. The multiplication property property of equations states that the two sides of an equation remain equal if both sides are multiplied by the same number

Example:
x ÷ 5 = 2
x ÷ 5 * 5 = 2 * 5
x ÷ 1 = 10
x = 10
Check the answer by substituting the answer (10) back into the equation.
10 ÷ 5 = 2


An equation is a mathematical statement such that the expression on the left side of the equals sign (=) has the same value as the expression on the right side. An example of an equation is 132 ÷ 12 = 11.

One of the terms in an equation may not be known and needs to be determined. The unknown term may be represented by a letter such as x. (e.g. x ÷ 12 = 11).

The solution of an equation is finding the value of the unknown x. Use the multiplication property of equations to find the value of x. The multiplication property property of equations states that the two sides of an equation remain equal if both sides are multiplied by the same number

Example:
x ÷ 50 = 20
x ÷ 50 * 50 = 20 * 50
x ÷ 1 = 1000
x = 1000
Check the answer by substituting the answer (1000) back into the equation.
1000 ÷ 50 = 20