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What is the quotient and remainder when $ 7465 $ is divided by $ 5 $ ?
Answer
The quotient is 1493 and the remainder is 0.
Explanation
Division Table
|
| 1 | 4 | 9 | 3 |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
| – | 4 | 5 | |
| | | 1 | 5 |
| | – | 1 | 5 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
5 | 7 | 4 | 6 | 5 |
STEP 1: DIVIDE 7 : 5 = 1 with a remainder of 2
|
| 1 | | | |
5 | 7 | 4 | 6 | 5 |
STEP 2: MULTIPLY 1 · 5 = 5
|
| 1 | | | |
5 | 7 | 4 | 6 | 5 |
| 5 | | | |
STEP 3: SUBTRACT 7 - 5 = 2
|
| 1 | | | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | | | |
STEP 4: BRING DOWN
|
| 1 | | | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
STEP 5: DIVIDE 24 : 5 = 4 with a remainder of 4
|
| 1 | 4 | | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
STEP 6: MULTIPLY 4 · 5 = 20
|
| 1 | 4 | | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
| 2 | 0 | | |
STEP 7: SUBTRACT 24 - 20 = 4
|
| 1 | 4 | | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | | |
STEP 8: BRING DOWN
|
| 1 | 4 | | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
STEP 9: DIVIDE 46 : 5 = 9 with a remainder of 1
|
| 1 | 4 | 9 | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
STEP 10: MULTIPLY 9 · 5 = 45
|
| 1 | 4 | 9 | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
| | 4 | 5 | |
STEP 11: SUBTRACT 46 - 45 = 1
|
| 1 | 4 | 9 | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
| – | 4 | 5 | |
| | | 1 | |
STEP 12: BRING DOWN
|
| 1 | 4 | 9 | |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
| – | 4 | 5 | |
| | | 1 | 5 |
STEP 13: DIVIDE 15 : 5 = 3 with a remainder of 0
|
| 1 | 4 | 9 | 3 |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
| – | 4 | 5 | |
| | | 1 | 5 |
STEP 14: MULTIPLY 3 · 5 = 15
|
| 1 | 4 | 9 | 3 |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
| – | 4 | 5 | |
| | | 1 | 5 |
| | | 1 | 5 |
STEP 15: SUBTRACT 15 - 15 = 0
|
| 1 | 4 | 9 | 3 |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
| – | 4 | 5 | |
| | | 1 | 5 |
| | – | 1 | 5 |
| | | | 0 |
STEP 15: SUBTRACT 15 - 15 = 0
|
| 1 | 4 | 9 | 3 |
5 | 7 | 4 | 6 | 5 |
– | 5 | | | |
| 2 | 4 | | |
– | 2 | 0 | | |
| | 4 | 6 | |
| – | 4 | 5 | |
| | | 1 | 5 |
| | – | 1 | 5 |
| | | | 0 |
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