Let's divide 113907 by 14
Let's see how many times 14 fits into 113907.

Advancing to step 1:
If we divide 1 by 14, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 14

Advancing to step 2:
If we divide 11 by 14, we get 0 and a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 14

Step 3:
113 divided by 14 is 8 with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 112 from 113 and we're left with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 14

Advancing to step 4:
14 goes into 19 1 times with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 81.0
Subtract 14 from 19 to get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 14

Advancing to step 5:
If we divide 50 by 14, we get 3 and a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 813.0
The remainder is 8 after subtracting 42 from 50.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 14

Moving on to step 6:
The number 14 fits into 87 6 times, leaving a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 8136.0
Subtracting 84 from 87 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
The number 14 fits into 30 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 8136.2
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
14 can be fit into 20 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 8136.21
Deduct 14 from 20 and we're left 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.

Step 9:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 8136.214
Subtracting 56 from 60 leaves us 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 10:
40 divided by 14 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 8136.2142
Deduct 28 from 40 and we're left 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.

Going ahead to step 11:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 8136.21428
If we take 112 away from 120, we end up with 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 12:
When dividing 80 by 14, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 8136.214285
If we take 70 away from 80, we end up 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.

Step 13:
When dividing 100 by 14, we get 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 8136.2142857
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
14 goes into 20 1 times with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 8136.21428571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 8136.21428571 with a balance of 6e-09.