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Question
What is the quotient and remainder when $ 36216 $ is divided by $ 72 $ ?
Answer
The quotient is 503 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 5 | 0 | 3 |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
| | | | | – | 0 | |
| | | | | 2 | 1 | 6 |
| | | | – | 2 | 1 | 6 |
| | | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
STEP 1: DIVIDE 3 : 72 = 0 with a remainder of 3
|
| | | 0 | | | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
STEP 2: MULTIPLY 0 · 72 = 0
|
| | | 0 | | | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | | 0 | | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
STEP 5: DIVIDE 36 : 72 = 0 with a remainder of 36
|
| | | 0 | 0 | | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
STEP 6: MULTIPLY 0 · 72 = 0
|
| | | 0 | 0 | | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | | 0 | | | |
STEP 7: SUBTRACT 36 - 0 = 36
|
| | | 0 | 0 | | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
STEP 9: DIVIDE 362 : 72 = 5 with a remainder of 2
|
| | | 0 | 0 | 5 | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
STEP 10: MULTIPLY 5 · 72 = 360
|
| | | 0 | 0 | 5 | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | | 3 | 6 | 0 | | |
STEP 11: SUBTRACT 362 - 360 = 2
|
| | | 0 | 0 | 5 | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 5 | | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
STEP 13: DIVIDE 21 : 72 = 0 with a remainder of 21
|
| | | 0 | 0 | 5 | 0 | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
STEP 14: MULTIPLY 0 · 72 = 0
|
| | | 0 | 0 | 5 | 0 | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
| | | | | | 0 | |
STEP 15: SUBTRACT 21 - 0 = 21
|
| | | 0 | 0 | 5 | 0 | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
| | | | | – | 0 | |
| | | | | 2 | 1 | |
|
STEP 16: BRING DOWN
|
| | | 0 | 0 | 5 | 0 | |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
| | | | | – | 0 | |
| | | | | 2 | 1 | 6 |
STEP 17: DIVIDE 216 : 72 = 3 with a remainder of 0
|
| | | 0 | 0 | 5 | 0 | 3 |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
| | | | | – | 0 | |
| | | | | 2 | 1 | 6 |
STEP 18: MULTIPLY 3 · 72 = 216
|
| | | 0 | 0 | 5 | 0 | 3 |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
| | | | | – | 0 | |
| | | | | 2 | 1 | 6 |
| | | | | 2 | 1 | 6 |
STEP 19: SUBTRACT 216 - 216 = 0
|
| | | 0 | 0 | 5 | 0 | 3 |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
| | | | | – | 0 | |
| | | | | 2 | 1 | 6 |
| | | | – | 2 | 1 | 6 |
| | | | | | | 0 |
STEP 19: SUBTRACT 216 - 216 = 0
|
| | | 0 | 0 | 5 | 0 | 3 |
| 7 | 2 | 3 | 6 | 2 | 1 | 6 |
| | – | 0 | | | | |
| | | 3 | 6 | | | |
| | | – | 0 | | | |
| | | 3 | 6 | 2 | | |
| | – | 3 | 6 | 0 | | |
| | | | | 2 | 1 | |
| | | | | – | 0 | |
| | | | | 2 | 1 | 6 |
| | | | – | 2 | 1 | 6 |
| | | | | | | 0 |
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