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Question
What is the quotient and remainder when $ 26974 $ is divided by $ 89 $ ?
Answer
The quotient is 303 and the remainder is 7.
Explanation
|
Division Table
|
| | | 0 | 0 | 3 | 0 | 3 |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
| | | | | – | 0 | |
| | | | | 2 | 7 | 4 |
| | | | – | 2 | 6 | 7 |
| | | | | | | 7 |
STEP 0: set up a division table
|
| | | | | | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
STEP 1: DIVIDE 2 : 89 = 0 with a remainder of 2
|
| | | 0 | | | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
STEP 2: MULTIPLY 0 · 89 = 0
|
| | | 0 | | | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | | 0 | | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
STEP 5: DIVIDE 26 : 89 = 0 with a remainder of 26
|
| | | 0 | 0 | | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
STEP 6: MULTIPLY 0 · 89 = 0
|
| | | 0 | 0 | | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | | 0 | | | |
STEP 7: SUBTRACT 26 - 0 = 26
|
| | | 0 | 0 | | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
STEP 9: DIVIDE 269 : 89 = 3 with a remainder of 2
|
| | | 0 | 0 | 3 | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
STEP 10: MULTIPLY 3 · 89 = 267
|
| | | 0 | 0 | 3 | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | | 2 | 6 | 7 | | |
STEP 11: SUBTRACT 269 - 267 = 2
|
| | | 0 | 0 | 3 | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 3 | | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
STEP 13: DIVIDE 27 : 89 = 0 with a remainder of 27
|
| | | 0 | 0 | 3 | 0 | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
STEP 14: MULTIPLY 0 · 89 = 0
|
| | | 0 | 0 | 3 | 0 | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
| | | | | | 0 | |
STEP 15: SUBTRACT 27 - 0 = 27
|
| | | 0 | 0 | 3 | 0 | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
| | | | | – | 0 | |
| | | | | 2 | 7 | |
|
STEP 16: BRING DOWN
|
| | | 0 | 0 | 3 | 0 | |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
| | | | | – | 0 | |
| | | | | 2 | 7 | 4 |
STEP 17: DIVIDE 274 : 89 = 3 with a remainder of 7
|
| | | 0 | 0 | 3 | 0 | 3 |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
| | | | | – | 0 | |
| | | | | 2 | 7 | 4 |
STEP 18: MULTIPLY 3 · 89 = 267
|
| | | 0 | 0 | 3 | 0 | 3 |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
| | | | | – | 0 | |
| | | | | 2 | 7 | 4 |
| | | | | 2 | 6 | 7 |
STEP 19: SUBTRACT 274 - 267 = 7
|
| | | 0 | 0 | 3 | 0 | 3 |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
| | | | | – | 0 | |
| | | | | 2 | 7 | 4 |
| | | | – | 2 | 6 | 7 |
| | | | | | | 7 |
STEP 19: SUBTRACT 274 - 267 = 7
|
| | | 0 | 0 | 3 | 0 | 3 |
| 8 | 9 | 2 | 6 | 9 | 7 | 4 |
| | – | 0 | | | | |
| | | 2 | 6 | | | |
| | | – | 0 | | | |
| | | 2 | 6 | 9 | | |
| | – | 2 | 6 | 7 | | |
| | | | | 2 | 7 | |
| | | | | – | 0 | |
| | | | | 2 | 7 | 4 |
| | | | – | 2 | 6 | 7 |
| | | | | | | 7 |
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