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What is the quotient and remainder when $ 7280 $ is divided by $ 52 $ ?
Answer
The quotient is 140 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 1 | 4 | 0 |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
| – | 2 | 0 | 8 | |
| | | | 0 | |
| | | – | 0 | |
| | | | 0 | |
STEP 0: set up a division table
|
| | | | | |
5 | 2 | 7 | 2 | 8 | 0 |
STEP 1: DIVIDE 7 : 52 = 0 with a remainder of 7
|
| | 0 | | | |
5 | 2 | 7 | 2 | 8 | 0 |
STEP 2: MULTIPLY 0 · 52 = 0
|
| | 0 | | | |
5 | 2 | 7 | 2 | 8 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
STEP 5: DIVIDE 72 : 52 = 1 with a remainder of 20
|
| | 0 | 1 | | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
STEP 6: MULTIPLY 1 · 52 = 52
|
| | 0 | 1 | | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| | 5 | 2 | | |
STEP 7: SUBTRACT 72 - 52 = 20
|
| | 0 | 1 | | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
STEP 9: DIVIDE 208 : 52 = 4 with a remainder of 0
|
| | 0 | 1 | 4 | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
STEP 10: MULTIPLY 4 · 52 = 208
|
| | 0 | 1 | 4 | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
| | 2 | 0 | 8 | |
STEP 11: SUBTRACT 208 - 208 = 0
|
| | 0 | 1 | 4 | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
| – | 2 | 0 | 8 | |
| | | | 0 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 4 | |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
| – | 2 | 0 | 8 | |
| | | | 0 | |
STEP 13: DIVIDE 0 : 52 = 0 with a remainder of 0
|
| | 0 | 1 | 4 | 0 |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
| – | 2 | 0 | 8 | |
| | | | 0 | |
STEP 14: MULTIPLY 0 · 52 = 0
|
| | 0 | 1 | 4 | 0 |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
| – | 2 | 0 | 8 | |
| | | | 0 | |
| | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | 0 | 1 | 4 | 0 |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
| – | 2 | 0 | 8 | |
| | | | 0 | |
| | | – | 0 | |
| | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | 0 | 1 | 4 | 0 |
5 | 2 | 7 | 2 | 8 | 0 |
| – | 0 | | | |
| | 7 | 2 | | |
| – | 5 | 2 | | |
| | 2 | 0 | 8 | |
| – | 2 | 0 | 8 | |
| | | | 0 | |
| | | – | 0 | |
| | | | 0 | |
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