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Question
What is the quotient and remainder when $ 8207 $ is divided by $ 5 $ ?
Answer
The quotient is 1641 and the remainder is 2.
Explanation
Division Table
|
| 1 | 6 | 4 | 1 |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 7 | |
| | – | 5 | |
| | | 2 | |
STEP 0: set up a division table
|
| | | | |
5 | 8 | 2 | 0 | 7 |
STEP 1: DIVIDE 8 : 5 = 1 with a remainder of 3
|
| 1 | | | |
5 | 8 | 2 | 0 | 7 |
STEP 2: MULTIPLY 1 · 5 = 5
|
| 1 | | | |
5 | 8 | 2 | 0 | 7 |
| 5 | | | |
STEP 3: SUBTRACT 8 - 5 = 3
|
| 1 | | | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | | | |
STEP 4: BRING DOWN
|
| 1 | | | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
STEP 5: DIVIDE 32 : 5 = 6 with a remainder of 2
|
| 1 | 6 | | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
STEP 6: MULTIPLY 6 · 5 = 30
|
| 1 | 6 | | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
| 3 | 0 | | |
STEP 7: SUBTRACT 32 - 30 = 2
|
| 1 | 6 | | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | | |
STEP 8: BRING DOWN
|
| 1 | 6 | | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
STEP 9: DIVIDE 20 : 5 = 4 with a remainder of 0
|
| 1 | 6 | 4 | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
STEP 10: MULTIPLY 4 · 5 = 20
|
| 1 | 6 | 4 | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
| | 2 | 0 | |
STEP 11: SUBTRACT 20 - 20 = 0
|
| 1 | 6 | 4 | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 0 | |
STEP 12: BRING DOWN
|
| 1 | 6 | 4 | |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 7 | |
STEP 13: DIVIDE 7 : 5 = 1 with a remainder of 2
|
| 1 | 6 | 4 | 1 |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 7 | |
STEP 14: MULTIPLY 1 · 5 = 5
|
| 1 | 6 | 4 | 1 |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 7 | |
| | | 5 | |
STEP 15: SUBTRACT 7 - 5 = 2
|
| 1 | 6 | 4 | 1 |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 7 | |
| | – | 5 | |
| | | 2 | |
STEP 15: SUBTRACT 7 - 5 = 2
|
| 1 | 6 | 4 | 1 |
5 | 8 | 2 | 0 | 7 |
– | 5 | | | |
| 3 | 2 | | |
– | 3 | 0 | | |
| | 2 | 0 | |
| – | 2 | 0 | |
| | | 7 | |
| | – | 5 | |
| | | 2 | |
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