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What is the quotient and remainder when $ 318 $ is divided by $ 16 $ ?
Answer
The quotient is 19 and the remainder is 14.
Explanation
Division Table
|
| | 0 | 1 | 9 |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
| – | 1 | 6 | |
| | 1 | 5 | 8 |
| – | 1 | 4 | 4 |
| | | 1 | 4 |
STEP 0: set up a division table
|
| | | | |
1 | 6 | 3 | 1 | 8 |
STEP 1: DIVIDE 3 : 16 = 0 with a remainder of 3
|
| | 0 | | |
1 | 6 | 3 | 1 | 8 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | 0 | | |
1 | 6 | 3 | 1 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
STEP 5: DIVIDE 31 : 16 = 1 with a remainder of 15
|
| | 0 | 1 | |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
STEP 6: MULTIPLY 1 · 16 = 16
|
| | 0 | 1 | |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
| | 1 | 6 | |
STEP 7: SUBTRACT 31 - 16 = 15
|
| | 0 | 1 | |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
| – | 1 | 6 | |
| | 1 | 5 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
| – | 1 | 6 | |
| | 1 | 5 | 8 |
STEP 9: DIVIDE 158 : 16 = 9 with a remainder of 14
|
| | 0 | 1 | 9 |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
| – | 1 | 6 | |
| | 1 | 5 | 8 |
STEP 10: MULTIPLY 9 · 16 = 144
|
| | 0 | 1 | 9 |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
| – | 1 | 6 | |
| | 1 | 5 | 8 |
| | 1 | 4 | 4 |
STEP 11: SUBTRACT 158 - 144 = 14
|
| | 0 | 1 | 9 |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
| – | 1 | 6 | |
| | 1 | 5 | 8 |
| – | 1 | 4 | 4 |
| | | 1 | 4 |
STEP 11: SUBTRACT 158 - 144 = 14
|
| | 0 | 1 | 9 |
1 | 6 | 3 | 1 | 8 |
| – | 0 | | |
| | 3 | 1 | |
| – | 1 | 6 | |
| | 1 | 5 | 8 |
| – | 1 | 4 | 4 |
| | | 1 | 4 |
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