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Question
What is the quotient and remainder when $ 77164 $ is divided by $ 4 $ ?
Answer
The quotient is 19291 and the remainder is 0.
Explanation
|
Division Table
|
| | 1 | 9 | 2 | 9 | 1 |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
| | | – | 3 | 6 | |
| | | | | 4 | |
| | | | – | 4 | |
| | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
STEP 1: DIVIDE 7 : 4 = 1 with a remainder of 3
|
| | 1 | | | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
STEP 2: MULTIPLY 1 · 4 = 4
|
| | 1 | | | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| | 4 | | | | |
STEP 3: SUBTRACT 7 - 4 = 3
|
| | 1 | | | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
STEP 5: DIVIDE 37 : 4 = 9 with a remainder of 1
|
| | 1 | 9 | | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
STEP 6: MULTIPLY 9 · 4 = 36
|
| | 1 | 9 | | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| | 3 | 6 | | | |
STEP 7: SUBTRACT 37 - 36 = 1
|
| | 1 | 9 | | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | | | |
|
STEP 8: BRING DOWN
|
| | 1 | 9 | | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
STEP 9: DIVIDE 11 : 4 = 2 with a remainder of 3
|
| | 1 | 9 | 2 | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
STEP 10: MULTIPLY 2 · 4 = 8
|
| | 1 | 9 | 2 | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | | 8 | | |
STEP 11: SUBTRACT 11 - 8 = 3
|
| | 1 | 9 | 2 | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | | |
|
STEP 12: BRING DOWN
|
| | 1 | 9 | 2 | | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
STEP 13: DIVIDE 36 : 4 = 9 with a remainder of 0
|
| | 1 | 9 | 2 | 9 | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
STEP 14: MULTIPLY 9 · 4 = 36
|
| | 1 | 9 | 2 | 9 | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
| | | | 3 | 6 | |
STEP 15: SUBTRACT 36 - 36 = 0
|
| | 1 | 9 | 2 | 9 | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
| | | – | 3 | 6 | |
| | | | | 0 | |
|
STEP 16: BRING DOWN
|
| | 1 | 9 | 2 | 9 | |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
| | | – | 3 | 6 | |
| | | | | 4 | |
STEP 17: DIVIDE 4 : 4 = 1 with a remainder of 0
|
| | 1 | 9 | 2 | 9 | 1 |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
| | | – | 3 | 6 | |
| | | | | 4 | |
STEP 18: MULTIPLY 1 · 4 = 4
|
| | 1 | 9 | 2 | 9 | 1 |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
| | | – | 3 | 6 | |
| | | | | 4 | |
| | | | | 4 | |
STEP 19: SUBTRACT 4 - 4 = 0
|
| | 1 | 9 | 2 | 9 | 1 |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
| | | – | 3 | 6 | |
| | | | | 4 | |
| | | | – | 4 | |
| | | | | 0 | |
STEP 19: SUBTRACT 4 - 4 = 0
|
| | 1 | 9 | 2 | 9 | 1 |
| 4 | 7 | 7 | 1 | 6 | 4 |
| – | 4 | | | | |
| | 3 | 7 | | | |
| – | 3 | 6 | | | |
| | | 1 | 1 | | |
| | | – | 8 | | |
| | | | 3 | 6 | |
| | | – | 3 | 6 | |
| | | | | 4 | |
| | | | – | 4 | |
| | | | | 0 | |
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