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What is the quotient and remainder when $ 8465 $ is divided by $ 91 $ ?
Answer
The quotient is 93 and the remainder is 2.
Explanation
Division Table
|
| | 0 | 0 | 9 | 3 |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
| – | 8 | 1 | 9 | |
| | | 2 | 7 | 5 |
| | – | 2 | 7 | 3 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
9 | 1 | 8 | 4 | 6 | 5 |
STEP 1: DIVIDE 8 : 91 = 0 with a remainder of 8
|
| | 0 | | | |
9 | 1 | 8 | 4 | 6 | 5 |
STEP 2: MULTIPLY 0 · 91 = 0
|
| | 0 | | | |
9 | 1 | 8 | 4 | 6 | 5 |
| | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
STEP 5: DIVIDE 84 : 91 = 0 with a remainder of 84
|
| | 0 | 0 | | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
STEP 6: MULTIPLY 0 · 91 = 0
|
| | 0 | 0 | | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | | 0 | | |
STEP 7: SUBTRACT 84 - 0 = 84
|
| | 0 | 0 | | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
STEP 9: DIVIDE 846 : 91 = 9 with a remainder of 27
|
| | 0 | 0 | 9 | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
STEP 10: MULTIPLY 9 · 91 = 819
|
| | 0 | 0 | 9 | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
| | 8 | 1 | 9 | |
STEP 11: SUBTRACT 846 - 819 = 27
|
| | 0 | 0 | 9 | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
| – | 8 | 1 | 9 | |
| | | 2 | 7 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 9 | |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
| – | 8 | 1 | 9 | |
| | | 2 | 7 | 5 |
STEP 13: DIVIDE 275 : 91 = 3 with a remainder of 2
|
| | 0 | 0 | 9 | 3 |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
| – | 8 | 1 | 9 | |
| | | 2 | 7 | 5 |
STEP 14: MULTIPLY 3 · 91 = 273
|
| | 0 | 0 | 9 | 3 |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
| – | 8 | 1 | 9 | |
| | | 2 | 7 | 5 |
| | | 2 | 7 | 3 |
STEP 15: SUBTRACT 275 - 273 = 2
|
| | 0 | 0 | 9 | 3 |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
| – | 8 | 1 | 9 | |
| | | 2 | 7 | 5 |
| | – | 2 | 7 | 3 |
| | | | | 2 |
STEP 15: SUBTRACT 275 - 273 = 2
|
| | 0 | 0 | 9 | 3 |
9 | 1 | 8 | 4 | 6 | 5 |
| – | 0 | | | |
| | 8 | 4 | | |
| | – | 0 | | |
| | 8 | 4 | 6 | |
| – | 8 | 1 | 9 | |
| | | 2 | 7 | 5 |
| | – | 2 | 7 | 3 |
| | | | | 2 |
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