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Question
What is the quotient and remainder when $ 9710 $ is divided by $ 10 $ ?
Answer
The quotient is 971 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 9 | 7 | 1 |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 0 |
| | | | – | 1 | 0 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 0 | 9 | 7 | 1 | 0 |
STEP 1: DIVIDE 9 : 10 = 0 with a remainder of 9
|
| | | 0 | | | |
| 1 | 0 | 9 | 7 | 1 | 0 |
STEP 2: MULTIPLY 0 · 10 = 0
|
| | | 0 | | | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
STEP 5: DIVIDE 97 : 10 = 9 with a remainder of 7
|
| | | 0 | 9 | | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
STEP 6: MULTIPLY 9 · 10 = 90
|
| | | 0 | 9 | | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | | 9 | 0 | | |
STEP 7: SUBTRACT 97 - 90 = 7
|
| | | 0 | 9 | | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 9 | | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
STEP 9: DIVIDE 71 : 10 = 7 with a remainder of 1
|
| | | 0 | 9 | 7 | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
STEP 10: MULTIPLY 7 · 10 = 70
|
| | | 0 | 9 | 7 | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
| | | | 7 | 0 | |
STEP 11: SUBTRACT 71 - 70 = 1
|
| | | 0 | 9 | 7 | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 9 | 7 | |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 0 |
STEP 13: DIVIDE 10 : 10 = 1 with a remainder of 0
|
| | | 0 | 9 | 7 | 1 |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 0 |
STEP 14: MULTIPLY 1 · 10 = 10
|
| | | 0 | 9 | 7 | 1 |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 0 |
| | | | | 1 | 0 |
STEP 15: SUBTRACT 10 - 10 = 0
|
| | | 0 | 9 | 7 | 1 |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 0 |
| | | | – | 1 | 0 |
| | | | | | 0 |
STEP 15: SUBTRACT 10 - 10 = 0
|
| | | 0 | 9 | 7 | 1 |
| 1 | 0 | 9 | 7 | 1 | 0 |
| | – | 0 | | | |
| | | 9 | 7 | | |
| | – | 9 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 0 |
| | | | – | 1 | 0 |
| | | | | | 0 |
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