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What is the quotient and remainder when $ 957 $ is divided by $ 19 $ ?
Answer
The quotient is 50 and the remainder is 7.
Explanation
Division Table
|
| | 0 | 5 | 0 |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
| – | 9 | 5 | |
| | | 7 | |
| | – | 0 | |
| | | 7 | |
STEP 0: set up a division table
|
| | | | |
1 | 9 | 9 | 5 | 7 |
STEP 1: DIVIDE 9 : 19 = 0 with a remainder of 9
|
| | 0 | | |
1 | 9 | 9 | 5 | 7 |
STEP 2: MULTIPLY 0 · 19 = 0
|
| | 0 | | |
1 | 9 | 9 | 5 | 7 |
| | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | 0 | | |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
STEP 5: DIVIDE 95 : 19 = 5 with a remainder of 0
|
| | 0 | 5 | |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
STEP 6: MULTIPLY 5 · 19 = 95
|
| | 0 | 5 | |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
| | 9 | 5 | |
STEP 7: SUBTRACT 95 - 95 = 0
|
| | 0 | 5 | |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
| – | 9 | 5 | |
| | | 0 | |
STEP 8: BRING DOWN
|
| | 0 | 5 | |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
| – | 9 | 5 | |
| | | 7 | |
STEP 9: DIVIDE 7 : 19 = 0 with a remainder of 7
|
| | 0 | 5 | 0 |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
| – | 9 | 5 | |
| | | 7 | |
STEP 10: MULTIPLY 0 · 19 = 0
|
| | 0 | 5 | 0 |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
| – | 9 | 5 | |
| | | 7 | |
| | | 0 | |
STEP 11: SUBTRACT 7 - 0 = 7
|
| | 0 | 5 | 0 |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
| – | 9 | 5 | |
| | | 7 | |
| | – | 0 | |
| | | 7 | |
STEP 11: SUBTRACT 7 - 0 = 7
|
| | 0 | 5 | 0 |
1 | 9 | 9 | 5 | 7 |
| – | 0 | | |
| | 9 | 5 | |
| – | 9 | 5 | |
| | | 7 | |
| | – | 0 | |
| | | 7 | |
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