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What is the quotient and remainder when $ 14448 $ is divided by $ 24 $ ?
Answer
The quotient is 602 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 6 | 0 | 2 |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
| | | – | 0 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
STEP 1: DIVIDE 1 : 24 = 0 with a remainder of 1
|
| | 0 | | | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
STEP 2: MULTIPLY 0 · 24 = 0
|
| | 0 | | | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| | 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | | | | |
STEP 4: BRING DOWN
|
| | 0 | | | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
STEP 5: DIVIDE 14 : 24 = 0 with a remainder of 14
|
| | 0 | 0 | | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
STEP 6: MULTIPLY 0 · 24 = 0
|
| | 0 | 0 | | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | | 0 | | | |
STEP 7: SUBTRACT 14 - 0 = 14
|
| | 0 | 0 | | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
STEP 9: DIVIDE 144 : 24 = 6 with a remainder of 0
|
| | 0 | 0 | 6 | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
STEP 10: MULTIPLY 6 · 24 = 144
|
| | 0 | 0 | 6 | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| | 1 | 4 | 4 | | |
STEP 11: SUBTRACT 144 - 144 = 0
|
| | 0 | 0 | 6 | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 0 | | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 6 | | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
STEP 13: DIVIDE 4 : 24 = 0 with a remainder of 4
|
| | 0 | 0 | 6 | 0 | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
STEP 14: MULTIPLY 0 · 24 = 0
|
| | 0 | 0 | 6 | 0 | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
| | | | 0 | | |
STEP 15: SUBTRACT 4 - 0 = 4
|
| | 0 | 0 | 6 | 0 | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
| | | – | 0 | | |
| | | | 4 | | |
STEP 16: BRING DOWN
|
| | 0 | 0 | 6 | 0 | |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
| | | – | 0 | | |
| | | | 4 | 8 | |
STEP 17: DIVIDE 48 : 24 = 2 with a remainder of 0
|
| | 0 | 0 | 6 | 0 | 2 |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
| | | – | 0 | | |
| | | | 4 | 8 | |
STEP 18: MULTIPLY 2 · 24 = 48
|
| | 0 | 0 | 6 | 0 | 2 |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
| | | – | 0 | | |
| | | | 4 | 8 | |
| | | | 4 | 8 | |
STEP 19: SUBTRACT 48 - 48 = 0
|
| | 0 | 0 | 6 | 0 | 2 |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
| | | – | 0 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 0 | |
STEP 19: SUBTRACT 48 - 48 = 0
|
| | 0 | 0 | 6 | 0 | 2 |
2 | 4 | 1 | 4 | 4 | 4 | 8 |
| – | 0 | | | | |
| | 1 | 4 | | | |
| | – | 0 | | | |
| | 1 | 4 | 4 | | |
| – | 1 | 4 | 4 | | |
| | | | 4 | | |
| | | – | 0 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 0 | |
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