29566 ÷ 31 
Our goal is to divide 29566 by 31.

Let's proceed to step 1:
2 divided by 31 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 31

On to step 2:
If we divide 29 by 31, we get 0 and a remainder of 29.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 29 leaves us with 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 31

Advancing to step 3:
295 divided by 31 is 9 with a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 279 from 295 and we're left with 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 31

Moving on to step 4:
31 goes into 166 5 times with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
If we subtract 155 from 166, we get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 31

Moving on to step 5:
The number 31 fits into 116 3 times, leaving a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 953.0
If we subtract 93 from 116, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 6:
When dividing 230 by 31, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 953.7
Deduct 217 from 230 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
When dividing 130 by 31, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 953.74
Subtracting 124 from 130 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.

Advancing to step 8:
When dividing 60 by 31, we get 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 953.741
If we take 31 away from 60, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 9:
The number 31 fits into 290 9 times, leaving a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 953.7419
Subtract 279 from 290 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
When dividing 110 by 31, we get 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 953.74193
If we take 93 away from 110, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 11:
When dividing 170 by 31, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 953.741935
Deduct 155 from 170 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
The number 31 fits into 150 4 times, leaving a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 953.7419354
Deduct 124 from 150 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
When dividing 260 by 31, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 953.74193548
Subtract 248 from 260 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 953.74193548, and the remainder is 1.2e-08.