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What is the quotient and remainder when $ 7589 $ is divided by $ 24 $ ?
Answer
The quotient is 316 and the remainder is 5.
Explanation
Division Table
|
| | 0 | 3 | 1 | 6 |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
| | – | 2 | 4 | |
| | | 1 | 4 | 9 |
| | – | 1 | 4 | 4 |
| | | | | 5 |
STEP 0: set up a division table
|
| | | | | |
2 | 4 | 7 | 5 | 8 | 9 |
STEP 1: DIVIDE 7 : 24 = 0 with a remainder of 7
|
| | 0 | | | |
2 | 4 | 7 | 5 | 8 | 9 |
STEP 2: MULTIPLY 0 · 24 = 0
|
| | 0 | | | |
2 | 4 | 7 | 5 | 8 | 9 |
| | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
STEP 5: DIVIDE 75 : 24 = 3 with a remainder of 3
|
| | 0 | 3 | | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
STEP 6: MULTIPLY 3 · 24 = 72
|
| | 0 | 3 | | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| | 7 | 2 | | |
STEP 7: SUBTRACT 75 - 72 = 3
|
| | 0 | 3 | | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 3 | | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
STEP 9: DIVIDE 38 : 24 = 1 with a remainder of 14
|
| | 0 | 3 | 1 | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
STEP 10: MULTIPLY 1 · 24 = 24
|
| | 0 | 3 | 1 | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
| | | 2 | 4 | |
STEP 11: SUBTRACT 38 - 24 = 14
|
| | 0 | 3 | 1 | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
| | – | 2 | 4 | |
| | | 1 | 4 | |
STEP 12: BRING DOWN
|
| | 0 | 3 | 1 | |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
| | – | 2 | 4 | |
| | | 1 | 4 | 9 |
STEP 13: DIVIDE 149 : 24 = 6 with a remainder of 5
|
| | 0 | 3 | 1 | 6 |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
| | – | 2 | 4 | |
| | | 1 | 4 | 9 |
STEP 14: MULTIPLY 6 · 24 = 144
|
| | 0 | 3 | 1 | 6 |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
| | – | 2 | 4 | |
| | | 1 | 4 | 9 |
| | | 1 | 4 | 4 |
STEP 15: SUBTRACT 149 - 144 = 5
|
| | 0 | 3 | 1 | 6 |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
| | – | 2 | 4 | |
| | | 1 | 4 | 9 |
| | – | 1 | 4 | 4 |
| | | | | 5 |
STEP 15: SUBTRACT 149 - 144 = 5
|
| | 0 | 3 | 1 | 6 |
2 | 4 | 7 | 5 | 8 | 9 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 8 | |
| | – | 2 | 4 | |
| | | 1 | 4 | 9 |
| | – | 1 | 4 | 4 |
| | | | | 5 |
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