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What is the quotient and remainder when $ 9267 $ is divided by $ 90 $ ?
Answer
The quotient is 102 and the remainder is 87.
Explanation
Division Table
|
| | 0 | 1 | 0 | 2 |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
| | | – | 0 | |
| | | 2 | 6 | 7 |
| | – | 1 | 8 | 0 |
| | | | 8 | 7 |
STEP 0: set up a division table
|
| | | | | |
9 | 0 | 9 | 2 | 6 | 7 |
STEP 1: DIVIDE 9 : 90 = 0 with a remainder of 9
|
| | 0 | | | |
9 | 0 | 9 | 2 | 6 | 7 |
STEP 2: MULTIPLY 0 · 90 = 0
|
| | 0 | | | |
9 | 0 | 9 | 2 | 6 | 7 |
| | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | 0 | | | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
STEP 5: DIVIDE 92 : 90 = 1 with a remainder of 2
|
| | 0 | 1 | | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
STEP 6: MULTIPLY 1 · 90 = 90
|
| | 0 | 1 | | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| | 9 | 0 | | |
STEP 7: SUBTRACT 92 - 90 = 2
|
| | 0 | 1 | | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
STEP 9: DIVIDE 26 : 90 = 0 with a remainder of 26
|
| | 0 | 1 | 0 | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
STEP 10: MULTIPLY 0 · 90 = 0
|
| | 0 | 1 | 0 | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
| | | | 0 | |
STEP 11: SUBTRACT 26 - 0 = 26
|
| | 0 | 1 | 0 | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
| | | – | 0 | |
| | | 2 | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 0 | |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
| | | – | 0 | |
| | | 2 | 6 | 7 |
STEP 13: DIVIDE 267 : 90 = 2 with a remainder of 87
|
| | 0 | 1 | 0 | 2 |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
| | | – | 0 | |
| | | 2 | 6 | 7 |
STEP 14: MULTIPLY 2 · 90 = 180
|
| | 0 | 1 | 0 | 2 |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
| | | – | 0 | |
| | | 2 | 6 | 7 |
| | | 1 | 8 | 0 |
STEP 15: SUBTRACT 267 - 180 = 87
|
| | 0 | 1 | 0 | 2 |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
| | | – | 0 | |
| | | 2 | 6 | 7 |
| | – | 1 | 8 | 0 |
| | | | 8 | 7 |
STEP 15: SUBTRACT 267 - 180 = 87
|
| | 0 | 1 | 0 | 2 |
9 | 0 | 9 | 2 | 6 | 7 |
| – | 0 | | | |
| | 9 | 2 | | |
| – | 9 | 0 | | |
| | | 2 | 6 | |
| | | – | 0 | |
| | | 2 | 6 | 7 |
| | – | 1 | 8 | 0 |
| | | | 8 | 7 |
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