We're dividing 106887 by 14 
We want to figure out the number of times 106887 can be divided by 14.

On to step 1:
When dividing 1 by 14, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 14

On to step 2:
14 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 14

Let's proceed to step 3:
14 goes into 106 7 times with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 98 from 106 to get 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 14

Advancing to step 4:
88 divided by 14 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 76.0
If we subtract 84 from 88, we get 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 14

Moving on to step 5:
48 divided by 14 is 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 763.0
If we take 42 away from 48, we end up with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 14

On to step 6:
If we divide 67 by 14, we get 4 and a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 7634.0
The remainder is 11 after subtracting 56 from 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
14 goes into 110 7 times with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 7634.7
If we take 98 away from 110, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 7634.78
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
The number 14 fits into 80 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 7634.785
Deduct 70 from 80 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
100 divided by 14 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 7634.7857
Subtracting 98 from 100 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 7634.78571
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 7634.785714
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 7634.7857142
If we take 28 away from 40, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
14 goes into 120 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 7634.78571428
Subtract 112 from 120 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 7634.78571428, and the remainder is 8e-09.