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What is the quotient and remainder when $ 938 $ is divided by $ 58 $ ?
Answer
The quotient is 16 and the remainder is 10.
Explanation
Division Table
|
| | 0 | 1 | 6 |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
| – | 5 | 8 | |
| | 3 | 5 | 8 |
| – | 3 | 4 | 8 |
| | | 1 | 0 |
STEP 0: set up a division table
|
| | | | |
5 | 8 | 9 | 3 | 8 |
STEP 1: DIVIDE 9 : 58 = 0 with a remainder of 9
|
| | 0 | | |
5 | 8 | 9 | 3 | 8 |
STEP 2: MULTIPLY 0 · 58 = 0
|
| | 0 | | |
5 | 8 | 9 | 3 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | 0 | | |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
STEP 5: DIVIDE 93 : 58 = 1 with a remainder of 35
|
| | 0 | 1 | |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
STEP 6: MULTIPLY 1 · 58 = 58
|
| | 0 | 1 | |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
| | 5 | 8 | |
STEP 7: SUBTRACT 93 - 58 = 35
|
| | 0 | 1 | |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
| – | 5 | 8 | |
| | 3 | 5 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
| – | 5 | 8 | |
| | 3 | 5 | 8 |
STEP 9: DIVIDE 358 : 58 = 6 with a remainder of 10
|
| | 0 | 1 | 6 |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
| – | 5 | 8 | |
| | 3 | 5 | 8 |
STEP 10: MULTIPLY 6 · 58 = 348
|
| | 0 | 1 | 6 |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
| – | 5 | 8 | |
| | 3 | 5 | 8 |
| | 3 | 4 | 8 |
STEP 11: SUBTRACT 358 - 348 = 10
|
| | 0 | 1 | 6 |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
| – | 5 | 8 | |
| | 3 | 5 | 8 |
| – | 3 | 4 | 8 |
| | | 1 | 0 |
STEP 11: SUBTRACT 358 - 348 = 10
|
| | 0 | 1 | 6 |
5 | 8 | 9 | 3 | 8 |
| – | 0 | | |
| | 9 | 3 | |
| – | 5 | 8 | |
| | 3 | 5 | 8 |
| – | 3 | 4 | 8 |
| | | 1 | 0 |
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