157171 ÷ 6 
Let's see how many times 6 fits into 157171.

On to step 1:
6 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
Deduct 0 from 1 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 6

Advancing to step 2:
6 can be fit into 15 2 times, resulting in a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 12 from 15, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 6

Going ahead to step 3:
The number 6 fits into 37 6 times, leaving a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
The remainder is 1 after subtracting 36 from 37.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 6

Advancing to step 4:
When dividing 11 by 6, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 261.0
Subtracting 6 from 11 leaves us with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 6

Let's proceed to step 5:
When dividing 57 by 6, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 2619.0
Subtract 54 from 57 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 6

Going ahead to step 6:
6 goes into 31 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 26195.0
Subtract 30 from 31 to 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.

Going ahead to step 7:
If we divide 10 by 6, we get 1 and a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 26195.1
Subtracting 6 from 10 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.

Let's proceed to step 8:
When dividing 40 by 6, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 26195.16
The remainder is 4 after subtracting 36 from 40.
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 9:
6 can be fit into 40 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 26195.166
If we subtract 36 from 40, we 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.

In conclusion, the division gives 26195.166 with a balance of 0.0004.