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Question
What is the quotient and remainder when $ 7242 $ is divided by $ 359 $ ?
Answer
The quotient is 20 and the remainder is 62.
Explanation
|
Division Table
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
| | | – | 7 | 1 | 8 | |
| | | | | | 6 | 2 |
| | | | | | – | 0 |
| | | | | | 6 | 2 |
STEP 0: set up a division table
|
| | | | | | | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
STEP 1: DIVIDE 7 : 359 = 0 with a remainder of 7
|
| | | | 0 | | | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
STEP 2: MULTIPLY 0 · 359 = 0
|
| | | | 0 | | | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | | 0 | | | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
STEP 5: DIVIDE 72 : 359 = 0 with a remainder of 72
|
| | | | 0 | 0 | | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
STEP 6: MULTIPLY 0 · 359 = 0
|
| | | | 0 | 0 | | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 72 - 0 = 72
|
| | | | 0 | 0 | | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
STEP 9: DIVIDE 724 : 359 = 2 with a remainder of 6
|
| | | | 0 | 0 | 2 | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
STEP 10: MULTIPLY 2 · 359 = 718
|
| | | | 0 | 0 | 2 | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
| | | | 7 | 1 | 8 | |
STEP 11: SUBTRACT 724 - 718 = 6
|
| | | | 0 | 0 | 2 | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
| | | – | 7 | 1 | 8 | |
| | | | | | 6 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 2 | |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
| | | – | 7 | 1 | 8 | |
| | | | | | 6 | 2 |
STEP 13: DIVIDE 62 : 359 = 0 with a remainder of 62
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
| | | – | 7 | 1 | 8 | |
| | | | | | 6 | 2 |
STEP 14: MULTIPLY 0 · 359 = 0
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
| | | – | 7 | 1 | 8 | |
| | | | | | 6 | 2 |
| | | | | | | 0 |
STEP 15: SUBTRACT 62 - 0 = 62
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
| | | – | 7 | 1 | 8 | |
| | | | | | 6 | 2 |
| | | | | | – | 0 |
| | | | | | 6 | 2 |
STEP 15: SUBTRACT 62 - 0 = 62
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 5 | 9 | 7 | 2 | 4 | 2 |
| | | – | 0 | | | |
| | | | 7 | 2 | | |
| | | | – | 0 | | |
| | | | 7 | 2 | 4 | |
| | | – | 7 | 1 | 8 | |
| | | | | | 6 | 2 |
| | | | | | – | 0 |
| | | | | | 6 | 2 |
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