We divide 191634 by 14
Our goal is to divide 191634 by 14.

On to step 1:
14 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 14

Going ahead to step 2:
When dividing 19 by 14, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 14 from 19 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 14

Advancing to step 3:
If we divide 51 by 14, we get 3 and a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we subtract 42 from 51, we get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 14

Advancing to step 4:
96 divided by 14 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 136.0
If we subtract 84 from 96, we get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 14

On to step 5:
123 divided by 14 is 8 with a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 1368.0
Subtract 112 from 123 to get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 14

Going ahead to step 6:
14 can be fit into 114 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 13688.0
If we subtract 112 from 114, 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.

Moving on to step 7:
When dividing 20 by 14, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 13688.1
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.

On to step 8:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 13688.14
If we take 56 away from 60, we end up 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.

Moving on to step 9:
14 goes into 40 2 times with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 13688.142
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.

Step 10:
14 goes into 120 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 13688.1428
The remainder is 8 after subtracting 112 from 120.
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 11:
14 goes into 80 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 13688.14285
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
When dividing 100 by 14, we get 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 13688.142857
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.

Step 13:
If we divide 20 by 14, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 13688.1428571
Subtracting 14 from 20 leaves us 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.

Moving on to step 14:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 13688.14285714
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.

In conclusion, the division gives 13688.14285714 with a balance of 4e-09.