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What is the quotient and remainder when $ 2484 $ is divided by $ 36 $ ?
Answer
The quotient is 69 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 6 | 9 |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
| – | 2 | 1 | 6 | |
| | | 3 | 2 | 4 |
| | – | 3 | 2 | 4 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
3 | 6 | 2 | 4 | 8 | 4 |
STEP 1: DIVIDE 2 : 36 = 0 with a remainder of 2
|
| | 0 | | | |
3 | 6 | 2 | 4 | 8 | 4 |
STEP 2: MULTIPLY 0 · 36 = 0
|
| | 0 | | | |
3 | 6 | 2 | 4 | 8 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
STEP 5: DIVIDE 24 : 36 = 0 with a remainder of 24
|
| | 0 | 0 | | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
STEP 6: MULTIPLY 0 · 36 = 0
|
| | 0 | 0 | | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | | 0 | | |
STEP 7: SUBTRACT 24 - 0 = 24
|
| | 0 | 0 | | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
STEP 9: DIVIDE 248 : 36 = 6 with a remainder of 32
|
| | 0 | 0 | 6 | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
STEP 10: MULTIPLY 6 · 36 = 216
|
| | 0 | 0 | 6 | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
| | 2 | 1 | 6 | |
STEP 11: SUBTRACT 248 - 216 = 32
|
| | 0 | 0 | 6 | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
| – | 2 | 1 | 6 | |
| | | 3 | 2 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 6 | |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
| – | 2 | 1 | 6 | |
| | | 3 | 2 | 4 |
STEP 13: DIVIDE 324 : 36 = 9 with a remainder of 0
|
| | 0 | 0 | 6 | 9 |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
| – | 2 | 1 | 6 | |
| | | 3 | 2 | 4 |
STEP 14: MULTIPLY 9 · 36 = 324
|
| | 0 | 0 | 6 | 9 |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
| – | 2 | 1 | 6 | |
| | | 3 | 2 | 4 |
| | | 3 | 2 | 4 |
STEP 15: SUBTRACT 324 - 324 = 0
|
| | 0 | 0 | 6 | 9 |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
| – | 2 | 1 | 6 | |
| | | 3 | 2 | 4 |
| | – | 3 | 2 | 4 |
| | | | | 0 |
STEP 15: SUBTRACT 324 - 324 = 0
|
| | 0 | 0 | 6 | 9 |
3 | 6 | 2 | 4 | 8 | 4 |
| – | 0 | | | |
| | 2 | 4 | | |
| | – | 0 | | |
| | 2 | 4 | 8 | |
| – | 2 | 1 | 6 | |
| | | 3 | 2 | 4 |
| | – | 3 | 2 | 4 |
| | | | | 0 |
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