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Question
What is the quotient and remainder when $ 806 $ is divided by $ 9 $ ?
Answer
The quotient is 89 and the remainder is 5.
Explanation
|
Division Table
|
| | 0 | 8 | 9 |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
| – | 7 | 2 | |
| | | 8 | 6 |
| | – | 8 | 1 |
| | | | 5 |
STEP 0: set up a division table
|
| | | | |
| 9 | 8 | 0 | 6 |
STEP 1: DIVIDE 8 : 9 = 0 with a remainder of 8
|
| | 0 | | |
| 9 | 8 | 0 | 6 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| | 0 | | |
| 9 | 8 | 0 | 6 |
| | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
STEP 5: DIVIDE 80 : 9 = 8 with a remainder of 8
|
| | 0 | 8 | |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
STEP 6: MULTIPLY 8 · 9 = 72
|
| | 0 | 8 | |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
| | 7 | 2 | |
STEP 7: SUBTRACT 80 - 72 = 8
|
| | 0 | 8 | |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
| – | 7 | 2 | |
| | | 8 | |
|
STEP 8: BRING DOWN
|
| | 0 | 8 | |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
| – | 7 | 2 | |
| | | 8 | 6 |
STEP 9: DIVIDE 86 : 9 = 9 with a remainder of 5
|
| | 0 | 8 | 9 |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
| – | 7 | 2 | |
| | | 8 | 6 |
STEP 10: MULTIPLY 9 · 9 = 81
|
| | 0 | 8 | 9 |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
| – | 7 | 2 | |
| | | 8 | 6 |
| | | 8 | 1 |
STEP 11: SUBTRACT 86 - 81 = 5
|
| | 0 | 8 | 9 |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
| – | 7 | 2 | |
| | | 8 | 6 |
| | – | 8 | 1 |
| | | | 5 |
STEP 11: SUBTRACT 86 - 81 = 5
|
| | 0 | 8 | 9 |
| 9 | 8 | 0 | 6 |
| – | 0 | | |
| | 8 | 0 | |
| – | 7 | 2 | |
| | | 8 | 6 |
| | – | 8 | 1 |
| | | | 5 |
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