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What is the quotient and remainder when $ 1392 $ is divided by $ 16 $ ?
Answer
The quotient is 87 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 8 | 7 |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
| – | 1 | 2 | 8 | |
| | | 1 | 1 | 2 |
| | – | 1 | 1 | 2 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
1 | 6 | 1 | 3 | 9 | 2 |
STEP 1: DIVIDE 1 : 16 = 0 with a remainder of 1
|
| | 0 | | | |
1 | 6 | 1 | 3 | 9 | 2 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | 0 | | | |
1 | 6 | 1 | 3 | 9 | 2 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
STEP 5: DIVIDE 13 : 16 = 0 with a remainder of 13
|
| | 0 | 0 | | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
STEP 6: MULTIPLY 0 · 16 = 0
|
| | 0 | 0 | | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | | 0 | | |
STEP 7: SUBTRACT 13 - 0 = 13
|
| | 0 | 0 | | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
STEP 9: DIVIDE 139 : 16 = 8 with a remainder of 11
|
| | 0 | 0 | 8 | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
STEP 10: MULTIPLY 8 · 16 = 128
|
| | 0 | 0 | 8 | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
| | 1 | 2 | 8 | |
STEP 11: SUBTRACT 139 - 128 = 11
|
| | 0 | 0 | 8 | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
| – | 1 | 2 | 8 | |
| | | 1 | 1 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 8 | |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
| – | 1 | 2 | 8 | |
| | | 1 | 1 | 2 |
STEP 13: DIVIDE 112 : 16 = 7 with a remainder of 0
|
| | 0 | 0 | 8 | 7 |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
| – | 1 | 2 | 8 | |
| | | 1 | 1 | 2 |
STEP 14: MULTIPLY 7 · 16 = 112
|
| | 0 | 0 | 8 | 7 |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
| – | 1 | 2 | 8 | |
| | | 1 | 1 | 2 |
| | | 1 | 1 | 2 |
STEP 15: SUBTRACT 112 - 112 = 0
|
| | 0 | 0 | 8 | 7 |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
| – | 1 | 2 | 8 | |
| | | 1 | 1 | 2 |
| | – | 1 | 1 | 2 |
| | | | | 0 |
STEP 15: SUBTRACT 112 - 112 = 0
|
| | 0 | 0 | 8 | 7 |
1 | 6 | 1 | 3 | 9 | 2 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 9 | |
| – | 1 | 2 | 8 | |
| | | 1 | 1 | 2 |
| | – | 1 | 1 | 2 |
| | | | | 0 |
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