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Question
What is the quotient and remainder when $ 3196 $ is divided by $ 5 $ ?
Answer
The quotient is 639 and the remainder is 1.
Explanation
|
Division Table
|
| | 0 | 6 | 3 | 9 |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 5 | |
| | | | 4 | 6 |
| | | – | 4 | 5 |
| | | | | 1 |
STEP 0: set up a division table
|
| | | | | |
| 5 | 3 | 1 | 9 | 6 |
STEP 1: DIVIDE 3 : 5 = 0 with a remainder of 3
|
| | 0 | | | |
| 5 | 3 | 1 | 9 | 6 |
STEP 2: MULTIPLY 0 · 5 = 0
|
| | 0 | | | |
| 5 | 3 | 1 | 9 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
STEP 5: DIVIDE 31 : 5 = 6 with a remainder of 1
|
| | 0 | 6 | | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
STEP 6: MULTIPLY 6 · 5 = 30
|
| | 0 | 6 | | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| | 3 | 0 | | |
STEP 7: SUBTRACT 31 - 30 = 1
|
| | 0 | 6 | | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 6 | | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
STEP 9: DIVIDE 19 : 5 = 3 with a remainder of 4
|
| | 0 | 6 | 3 | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
STEP 10: MULTIPLY 3 · 5 = 15
|
| | 0 | 6 | 3 | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
| | | 1 | 5 | |
STEP 11: SUBTRACT 19 - 15 = 4
|
| | 0 | 6 | 3 | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 5 | |
| | | | 4 | |
|
STEP 12: BRING DOWN
|
| | 0 | 6 | 3 | |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 5 | |
| | | | 4 | 6 |
STEP 13: DIVIDE 46 : 5 = 9 with a remainder of 1
|
| | 0 | 6 | 3 | 9 |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 5 | |
| | | | 4 | 6 |
STEP 14: MULTIPLY 9 · 5 = 45
|
| | 0 | 6 | 3 | 9 |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 5 | |
| | | | 4 | 6 |
| | | | 4 | 5 |
STEP 15: SUBTRACT 46 - 45 = 1
|
| | 0 | 6 | 3 | 9 |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 5 | |
| | | | 4 | 6 |
| | | – | 4 | 5 |
| | | | | 1 |
STEP 15: SUBTRACT 46 - 45 = 1
|
| | 0 | 6 | 3 | 9 |
| 5 | 3 | 1 | 9 | 6 |
| – | 0 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 9 | |
| | – | 1 | 5 | |
| | | | 4 | 6 |
| | | – | 4 | 5 |
| | | | | 1 |
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