We divide 13553 by 14
We want to figure out the number of times 13553 can be divided by 14.

Advancing 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
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 14

Going ahead to step 2:
The number 14 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 14

Let's proceed to step 3:
135 divided by 14 is 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 9 after subtracting 126 from 135.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 14

On to step 4:
14 goes into 95 6 times with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
Subtracting 84 from 95 leaves us with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 14

Moving on to step 5:
113 divided by 14 is 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 968.0
If we subtract 112 from 113, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
The number 14 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 968.0
If we subtract 0 from 10, 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.

Advancing to step 7:
If we divide 100 by 14, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 968.07
Deduct 98 from 100 and we're left 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 8:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 968.071
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 968.0714
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.

Let's proceed to step 10:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 968.07142
The remainder is 12 after subtracting 28 from 40.
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:
If we divide 120 by 14, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 968.071428
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.

Moving on to step 12:
When dividing 80 by 14, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 968.0714285
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.

Step 13:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 968.07142857
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.

In conclusion, the division gives 968.07142857 with a balance of 2e-09.