Math Skill: Decimal Division
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Decimal Division

You must know how to do long division before doing this topic.
To review Long Division, see here.

Steps for decimal division:
1. Move the decimal point in the divisor to the right until the divisor is a whole number.
2. Move the decimal point in the dividend to the right the same number of places as in Step 1.
3. Divide until the remainder is 0.
The decimal point in the answer lines up with the decimal point in the dividend.
 divisor → 5.44 32.368 ↑ dividend

Example 1:

 3.7 11.84

Adjust the decimal points in the divisor and the dividend.

Now divide.

 ``` 3 37)118.4 -111 7 ``` ``` 3.2 ← Place the decimal point in the 37)118.4 answer so that it lines up with -111 the decimal point in the dividend. 7 4 -7 4 0 ```
 3.7 11.84

 4.5 21.6

Adjust the decimal points in the divisor and the dividend.

Now divide.

 ``` 4 45)216 -180 36 ``` ``` 4 45)216.0 -180 ↓ 36 0 Since there is a remainder, a zero is brought down. ``` ``` 4.8 ← Place the decimal point in the 45)216.0 answer so that it lines up with -180 the decimal point in the dividend. 36 0 -36 0 0 ```
 4.5 21.6

### Complexity=1, Mode=1

Divide. Use decimals, not remainders.
 1.   0.14 ÷ 0.7 = 2.   0.12 ÷ 1.2 =

### Complexity=3, Mode=1

Divide. Use decimals, not remainders.
 1.   1.44 ÷ 0.8 = 2.   1.4 ÷ 3.5 =

### Complexity=5, Mode=1

Divide. Use decimals, not remainders.
 1.   1.21 ÷ 1.1 = 2.   11.2 ÷ 5.6 =

### Complexity=3, Mode=2

Divide. Use decimals, not remainders.
 1.   1.92 ÷ 3.84 = 2.   1.5813 ÷ 2.51 =

### Complexity=5, Mode=2

Divide. Use decimals, not remainders.
 1.   1.8352 ÷ 0.31 = 2.   10.9326 ÷ 2.74 =

### Complexity=3, Mode=3

Divide. Use decimals, not remainders.
 1.   1.173572 ÷ 1.943 = 2.   1.979781 ÷ 2.679 =

### Complexity=5, Mode=4

Divide. Use decimals, not remainders.
 1.   11.02156389 ÷ 2.6001 = 2.   19.9698 ÷ 5.1875 =

### Complexity=1, Mode=1

Divide. Use decimals, not remainders.
10.14 ÷ 0.7 =
Solution
Move the decimals to the right to make the divisor a whole number.
```  0.2
7)1.4
-0
14
-14
0
```
20.12 ÷ 1.2 =
Solution
Move the decimals to the right to make the divisor a whole number.
```   0.1
12)1.2
-0
12
-12
0
```

### Complexity=3, Mode=1

Divide. Use decimals, not remainders.
11.44 ÷ 0.8 =
Solution
Move the decimals to the right to make the divisor a whole number.
```   1.8
8)14.4
-8
64
-64
0
```
21.4 ÷ 3.5 =
Solution
Move the decimals to the right to make the divisor a whole number.
```    0.4
35)14
-0
140
-140
0
```

### Complexity=5, Mode=1

Divide. Use decimals, not remainders.
11.21 ÷ 1.1 =
Solution
Move the decimals to the right to make the divisor a whole number.
```    1.1
11)12.1
-11
11
-11
0
```
211.2 ÷ 5.6 =
Solution
Move the decimals to the right to make the divisor a whole number.
```     2
56)112
-112
0
```

### Complexity=3, Mode=2

Divide. Use decimals, not remainders.
11.92 ÷ 3.84 =
Solution
Move the decimals to the right to make the divisor a whole number.
```      0.5
384)192
-0
1920
-1920
0
```
21.5813 ÷ 2.51 =
Solution
Move the decimals to the right to make the divisor a whole number.
```      0.63
251)158.13
-0
1581
-1506
753
-753
0
```

### Complexity=5, Mode=2

Divide. Use decimals, not remainders.
11.8352 ÷ 0.31 =
Solution
Move the decimals to the right to make the divisor a whole number.
```     5.92
31)183.52
-155
285
-279
62
-62
0
```
210.9326 ÷ 2.74 =
Solution
Move the decimals to the right to make the divisor a whole number.
```       3.99
274)1093.26
-822
2712
-2466
2466
-2466
0
```

### Complexity=3, Mode=3

Divide. Use decimals, not remainders.
11.173572 ÷ 1.943 =
Solution
Move the decimals to the right to make the divisor a whole number.
```        0.604
1943)1173.572
-0
11735
-11658
777
-0
7772
-7772
0
```
21.979781 ÷ 2.679 =
Solution
Move the decimals to the right to make the divisor a whole number.
```        0.739
2679)1979.781
-0
19797
-18753
10448
-8037
24111
-24111
0
```

### Complexity=5, Mode=4

Divide. Use decimals, not remainders.
111.02156389 ÷ 2.6001 =
Solution
Move the decimals to the right to make the divisor a whole number.
```           4.2389
26001)110215.6389
-104004
62116
-52002
101143
-78003
231408
-208008
234009
-234009
0
```
219.9698 ÷ 5.1875 =
Solution
Move the decimals to the right to make the divisor a whole number.
```           3.8496
51875)199698
-155625
440730
-415000
257300
-207500
498000
-466875
311250
-311250
0
```