We look at the division of 102169 by 4 
We want to divide 102169 by 4.

On to step 1:
1 divided by 4 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 4

On to step 2:
4 goes into 10 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 8 from 10 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 4

Moving on to step 3:
When dividing 22 by 4, we get 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Subtract 20 from 22 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 4

Let's proceed to step 4:
21 divided by 4 is 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 255.0
Subtract 20 from 21 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 4

Going ahead to step 5:
If we divide 16 by 4, we get 4 and a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 2554.0
Subtracting 16 from 16 leaves us with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 4

Going ahead to step 6:
If we divide 9 by 4, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 25542.0
Subtracting 8 from 9 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:
4 can be fit into 10 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 25542.2
If we subtract 8 from 10, 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.

Going ahead to step 8:
4 goes into 20 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 25542.25
The remainder is 0 after subtracting 20 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
The number 4 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 25542.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
If we divide 0 by 4, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 25542.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 25542.25 with a balance of 0.0.