We look at the division of 15545 by 7 
We want to figure out the number of times 15545 can be divided by 7.

Going ahead to step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 7

Moving on to step 2:
When dividing 15 by 7, we get 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 1 after subtracting 14 from 15.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 7

On to step 3:
When dividing 15 by 7, we get 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtract 14 from 15 to get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 7

On to step 4:
7 goes into 14 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 222.0
Deduct 14 from 14 and we're left with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 7

Let's proceed to step 5:
If we divide 5 by 7, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 2220.0
Subtracting 0 from 5 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 6:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 2220.7
Subtracting 49 from 50 leaves us with 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 7:
The number 7 fits into 10 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 2220.71
If we take 7 away from 10, we end up 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.

On to step 8:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 2220.714
Subtract 28 from 30 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.

Step 9:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 2220.7142
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.

Step 10:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 2220.71428
Subtract 56 from 60 to get 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 11:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 2220.714285
If we subtract 35 from 40, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
50 divided by 7 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 2220.7142857
The remainder is 1 after subtracting 49 from 50.
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 13:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 2220.71428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 2220.71428571 with a balance of 3e-09.