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Question
What is the quotient and remainder when $ 5780 $ is divided by $ 34 $ ?
Answer
The quotient is 170 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 1 | 7 | 0 |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
| – | 2 | 3 | 8 | |
| | | | 0 | |
| | | – | 0 | |
| | | | 0 | |
STEP 0: set up a division table
|
| | | | | |
3 | 4 | 5 | 7 | 8 | 0 |
STEP 1: DIVIDE 5 : 34 = 0 with a remainder of 5
|
| | 0 | | | |
3 | 4 | 5 | 7 | 8 | 0 |
STEP 2: MULTIPLY 0 · 34 = 0
|
| | 0 | | | |
3 | 4 | 5 | 7 | 8 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
STEP 5: DIVIDE 57 : 34 = 1 with a remainder of 23
|
| | 0 | 1 | | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
STEP 6: MULTIPLY 1 · 34 = 34
|
| | 0 | 1 | | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| | 3 | 4 | | |
STEP 7: SUBTRACT 57 - 34 = 23
|
| | 0 | 1 | | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
STEP 9: DIVIDE 238 : 34 = 7 with a remainder of 0
|
| | 0 | 1 | 7 | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
STEP 10: MULTIPLY 7 · 34 = 238
|
| | 0 | 1 | 7 | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
| | 2 | 3 | 8 | |
STEP 11: SUBTRACT 238 - 238 = 0
|
| | 0 | 1 | 7 | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
| – | 2 | 3 | 8 | |
| | | | 0 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 7 | |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
| – | 2 | 3 | 8 | |
| | | | 0 | |
STEP 13: DIVIDE 0 : 34 = 0 with a remainder of 0
|
| | 0 | 1 | 7 | 0 |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
| – | 2 | 3 | 8 | |
| | | | 0 | |
STEP 14: MULTIPLY 0 · 34 = 0
|
| | 0 | 1 | 7 | 0 |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
| – | 2 | 3 | 8 | |
| | | | 0 | |
| | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | 0 | 1 | 7 | 0 |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
| – | 2 | 3 | 8 | |
| | | | 0 | |
| | | – | 0 | |
| | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | 0 | 1 | 7 | 0 |
3 | 4 | 5 | 7 | 8 | 0 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 3 | 4 | | |
| | 2 | 3 | 8 | |
| – | 2 | 3 | 8 | |
| | | | 0 | |
| | | – | 0 | |
| | | | 0 | |
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