We're dividing 157566 by 29 
Our goal is to divide 157566 by 29.

Let's proceed to step 1:
When dividing 1 by 29, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 29

Let's proceed to step 2:
The number 29 fits into 15 0 times, leaving a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Grab the next digit (7) from the dividend, add it to 15, then carry on: 157 / 29

On to step 3:
If we divide 157 by 29, we get 5 and a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 12 after subtracting 145 from 157.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 29

Moving on to step 4:
The number 29 fits into 125 4 times, leaving a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 54.0
The remainder is 9 after subtracting 116 from 125.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 29

On to step 5:
The number 29 fits into 96 3 times, leaving a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 543.0
If we take 87 away from 96, we end up with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 29

Advancing to step 6:
If we divide 96 by 29, we get 3 and a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 5433.0
Deduct 87 from 96 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
90 divided by 29 is 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 5433.3
Subtract 87 from 90 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.

Step 8:
29 can be fit into 30 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 5433.31
Subtracting 29 from 30 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.

Let's proceed to step 9:
If we divide 10 by 29, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5433.31
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.

Step 10:
29 goes into 100 3 times with a remainder of 13.
The next digit of our result is 3. 
Result so far: 5433.3103
Subtract 87 from 100 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 11:
The number 29 fits into 130 4 times, leaving a remainder of 14.
The next digit of our result is 4. 
Result so far: 5433.31034
If we take 116 away from 130, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
140 divided by 29 is 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 5433.310344
Deduct 116 from 140 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 5433.310344 with a remainder of 2.4e-06.