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Question
What is the quotient and remainder when $ 61943 $ is divided by $ 8 $ ?
Answer
The quotient is 7742 and the remainder is 7.
Explanation
|
Division Table
|
| | 0 | 7 | 7 | 4 | 2 |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
| | | – | 3 | 2 | |
| | | | | 2 | 3 |
| | | | – | 1 | 6 |
| | | | | | 7 |
STEP 0: set up a division table
|
| | | | | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
STEP 1: DIVIDE 6 : 8 = 0 with a remainder of 6
|
| | 0 | | | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| | 0 | | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
STEP 5: DIVIDE 61 : 8 = 7 with a remainder of 5
|
| | 0 | 7 | | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
STEP 6: MULTIPLY 7 · 8 = 56
|
| | 0 | 7 | | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| | 5 | 6 | | | |
STEP 7: SUBTRACT 61 - 56 = 5
|
| | 0 | 7 | | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | | | |
|
STEP 8: BRING DOWN
|
| | 0 | 7 | | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
STEP 9: DIVIDE 59 : 8 = 7 with a remainder of 3
|
| | 0 | 7 | 7 | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
STEP 10: MULTIPLY 7 · 8 = 56
|
| | 0 | 7 | 7 | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | | 5 | 6 | | |
STEP 11: SUBTRACT 59 - 56 = 3
|
| | 0 | 7 | 7 | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 7 | 7 | | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
STEP 13: DIVIDE 34 : 8 = 4 with a remainder of 2
|
| | 0 | 7 | 7 | 4 | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
STEP 14: MULTIPLY 4 · 8 = 32
|
| | 0 | 7 | 7 | 4 | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
| | | | 3 | 2 | |
STEP 15: SUBTRACT 34 - 32 = 2
|
| | 0 | 7 | 7 | 4 | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
| | | – | 3 | 2 | |
| | | | | 2 | |
|
STEP 16: BRING DOWN
|
| | 0 | 7 | 7 | 4 | |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
| | | – | 3 | 2 | |
| | | | | 2 | 3 |
STEP 17: DIVIDE 23 : 8 = 2 with a remainder of 7
|
| | 0 | 7 | 7 | 4 | 2 |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
| | | – | 3 | 2 | |
| | | | | 2 | 3 |
STEP 18: MULTIPLY 2 · 8 = 16
|
| | 0 | 7 | 7 | 4 | 2 |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
| | | – | 3 | 2 | |
| | | | | 2 | 3 |
| | | | | 1 | 6 |
STEP 19: SUBTRACT 23 - 16 = 7
|
| | 0 | 7 | 7 | 4 | 2 |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
| | | – | 3 | 2 | |
| | | | | 2 | 3 |
| | | | – | 1 | 6 |
| | | | | | 7 |
STEP 19: SUBTRACT 23 - 16 = 7
|
| | 0 | 7 | 7 | 4 | 2 |
| 8 | 6 | 1 | 9 | 4 | 3 |
| – | 0 | | | | |
| | 6 | 1 | | | |
| – | 5 | 6 | | | |
| | | 5 | 9 | | |
| | – | 5 | 6 | | |
| | | | 3 | 4 | |
| | | – | 3 | 2 | |
| | | | | 2 | 3 |
| | | | – | 1 | 6 |
| | | | | | 7 |
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