Answer:
0.81 (repeated 81) (On paper, raw a straight line above the 8 and 1)
Step-by-step explanation:
To divide by long division to get a decimal number, you divide normally. For the decimals after "9", add some 0's. Follow the long division process, which you remember with DMS↓. (Divide, multiply, subtract, down).
This is the set up:
11 ∫9.0000
<u>Here are the first few steps:</u>
Divide: (11 goes into 9 "0" times. Write "0" in the answer place directly above the "9").
0.
11 ∫9.0000
Multiply the last used digit in answer by 11. (0 X 11 = 0. Write the answer under "9").
0.
11 ∫9.0000
0
Subtract under the original division question. (9 - 0 = 9)
0.
11 ∫9.0000
- <u>0</u>
9
Down ↓. Bring down the next digit from the question.
0.
11 ∫9.0000
- <u>0 </u>↓
9 0
Now start the process again.
Divide. (Divide 11 by 90. It goes in 8 times with remainders. Write "8" in the answer.)
0.8
11 ∫9.0000
- <u>0 </u>↓
9 0
Multiply. (Multiply 8 and 11, write the product under 90.)
0.8
11 ∫9.0000
- <u>0 </u>↓
9 0
8 8
Multiply. (Subtract 88 from 90.)
0.8
11 ∫9.0000
- <u>0 </u>↓
9 0
- <u>8 8</u>
2
Repeat the process until you end up subtracting 0s, or until you get repeating decimals.
The final looks like this:
0.8 181 Decimal is going to repeat.
11 ∫9.0000
- <u>0 </u>↓
9 0
- <u>8 8 </u>↓
2 0
- <u>1 1 </u>↓
9 0
- <u> 8 8 </u>↓
2 0
