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Question
What is the quotient and remainder when $ 3625 $ is divided by $ 24 $ ?
Answer
The quotient is 151 and the remainder is 1.
Explanation
Division Table
|
| | 0 | 1 | 5 | 1 |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
| – | 1 | 2 | 0 | |
| | | | 2 | 5 |
| | | – | 2 | 4 |
| | | | | 1 |
STEP 0: set up a division table
|
| | | | | |
2 | 4 | 3 | 6 | 2 | 5 |
STEP 1: DIVIDE 3 : 24 = 0 with a remainder of 3
|
| | 0 | | | |
2 | 4 | 3 | 6 | 2 | 5 |
STEP 2: MULTIPLY 0 · 24 = 0
|
| | 0 | | | |
2 | 4 | 3 | 6 | 2 | 5 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
STEP 5: DIVIDE 36 : 24 = 1 with a remainder of 12
|
| | 0 | 1 | | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
STEP 6: MULTIPLY 1 · 24 = 24
|
| | 0 | 1 | | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| | 2 | 4 | | |
STEP 7: SUBTRACT 36 - 24 = 12
|
| | 0 | 1 | | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
STEP 9: DIVIDE 122 : 24 = 5 with a remainder of 2
|
| | 0 | 1 | 5 | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
STEP 10: MULTIPLY 5 · 24 = 120
|
| | 0 | 1 | 5 | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
| | 1 | 2 | 0 | |
STEP 11: SUBTRACT 122 - 120 = 2
|
| | 0 | 1 | 5 | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
| – | 1 | 2 | 0 | |
| | | | 2 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 5 | |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
| – | 1 | 2 | 0 | |
| | | | 2 | 5 |
STEP 13: DIVIDE 25 : 24 = 1 with a remainder of 1
|
| | 0 | 1 | 5 | 1 |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
| – | 1 | 2 | 0 | |
| | | | 2 | 5 |
STEP 14: MULTIPLY 1 · 24 = 24
|
| | 0 | 1 | 5 | 1 |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
| – | 1 | 2 | 0 | |
| | | | 2 | 5 |
| | | | 2 | 4 |
STEP 15: SUBTRACT 25 - 24 = 1
|
| | 0 | 1 | 5 | 1 |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
| – | 1 | 2 | 0 | |
| | | | 2 | 5 |
| | | – | 2 | 4 |
| | | | | 1 |
STEP 15: SUBTRACT 25 - 24 = 1
|
| | 0 | 1 | 5 | 1 |
2 | 4 | 3 | 6 | 2 | 5 |
| – | 0 | | | |
| | 3 | 6 | | |
| – | 2 | 4 | | |
| | 1 | 2 | 2 | |
| – | 1 | 2 | 0 | |
| | | | 2 | 5 |
| | | – | 2 | 4 |
| | | | | 1 |
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