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Question
What is the quotient and remainder when $ 6000 $ is divided by $ 95 $ ?
Answer
The quotient is 63 and the remainder is 15.
Explanation
Division Table
|
| | 0 | 0 | 6 | 3 |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
| – | 5 | 7 | 0 | |
| | | 3 | 0 | 0 |
| | – | 2 | 8 | 5 |
| | | | 1 | 5 |
STEP 0: set up a division table
|
| | | | | |
9 | 5 | 6 | 0 | 0 | 0 |
STEP 1: DIVIDE 6 : 95 = 0 with a remainder of 6
|
| | 0 | | | |
9 | 5 | 6 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 95 = 0
|
| | 0 | | | |
9 | 5 | 6 | 0 | 0 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
STEP 5: DIVIDE 60 : 95 = 0 with a remainder of 60
|
| | 0 | 0 | | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
STEP 6: MULTIPLY 0 · 95 = 0
|
| | 0 | 0 | | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | | 0 | | |
STEP 7: SUBTRACT 60 - 0 = 60
|
| | 0 | 0 | | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
STEP 9: DIVIDE 600 : 95 = 6 with a remainder of 30
|
| | 0 | 0 | 6 | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
STEP 10: MULTIPLY 6 · 95 = 570
|
| | 0 | 0 | 6 | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
| | 5 | 7 | 0 | |
STEP 11: SUBTRACT 600 - 570 = 30
|
| | 0 | 0 | 6 | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
| – | 5 | 7 | 0 | |
| | | 3 | 0 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 6 | |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
| – | 5 | 7 | 0 | |
| | | 3 | 0 | 0 |
STEP 13: DIVIDE 300 : 95 = 3 with a remainder of 15
|
| | 0 | 0 | 6 | 3 |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
| – | 5 | 7 | 0 | |
| | | 3 | 0 | 0 |
STEP 14: MULTIPLY 3 · 95 = 285
|
| | 0 | 0 | 6 | 3 |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
| – | 5 | 7 | 0 | |
| | | 3 | 0 | 0 |
| | | 2 | 8 | 5 |
STEP 15: SUBTRACT 300 - 285 = 15
|
| | 0 | 0 | 6 | 3 |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
| – | 5 | 7 | 0 | |
| | | 3 | 0 | 0 |
| | – | 2 | 8 | 5 |
| | | | 1 | 5 |
STEP 15: SUBTRACT 300 - 285 = 15
|
| | 0 | 0 | 6 | 3 |
9 | 5 | 6 | 0 | 0 | 0 |
| – | 0 | | | |
| | 6 | 0 | | |
| | – | 0 | | |
| | 6 | 0 | 0 | |
| – | 5 | 7 | 0 | |
| | | 3 | 0 | 0 |
| | – | 2 | 8 | 5 |
| | | | 1 | 5 |
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