31558059 ÷ 766 
Our goal is to divide 31558059 by 766.

Let's proceed to step 1:
If we divide 3 by 766, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 766

On to step 2:
If we divide 31 by 766, we get 0 and a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Append the next digit (5) from the dividend to 31 and continue with: 315 / 766

Let's proceed to step 3:
315 divided by 766 is 0 with a remainder of 315.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 315, we get 315.
Bring next digit (5) of the dividend behind the 315 and repeat the process: 3155 / 766

Going ahead to step 4:
766 goes into 3155 4 times with a remainder of 91.
The next digit of our result is 4. 
Result so far: 4.0
If we take 3064 away from 3155, we end up with 91.
Take the next digit (8) from the dividend and append it to 91, then repeat: 918 / 766

Moving on to step 5:
When dividing 918 by 766, we get 1 with a remainder of 152.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Subtracting 766 from 918 leaves us with 152.
Fetch the next digit (0) from the dividend, attach it to 152 and continue: 1520 / 766

Advancing to step 6:
1520 divided by 766 is 1 with a remainder of 754.
The next digit of our result is 1. 
Result so far: 411.0
Deduct 766 from 1520 and we're left with 754.
Append the next digit (5) from the dividend to 754 and continue with: 7545 / 766

On to step 7:
The number 766 fits into 7545 9 times, leaving a remainder of 651.
Use 9 as the next digit of our solution. 
Result so far: 4119.0
Deduct 6894 from 7545 and we're left with 651.
Take the next digit (9) from the dividend and append it to 651, then repeat: 6519 / 766

Going ahead to step 8:
The number 766 fits into 6519 8 times, leaving a remainder of 391.
Write down 8 as next digit of the result. 
Result so far: 41198.0
Subtracting 6128 from 6519 leaves us with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

Step 9:
When dividing 3910 by 766, we get 5 with a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 41198.5
The remainder is 80 after subtracting 3830 from 3910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 10:
The number 766 fits into 800 1 times, leaving a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 41198.51
If we take 766 away from 800, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 11:
The number 766 fits into 340 0 times, leaving a remainder of 340.
Write down 0 as next digit of the result. 
Result so far: 41198.51
Subtract 0 from 340 to get 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

On to step 12:
766 goes into 3400 4 times with a remainder of 336.
Use 4 as the next digit of our solution. 
Result so far: 41198.5104
Deduct 3064 from 3400 and we're left with 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Moving on to step 13:
If we divide 3360 by 766, we get 4 and a remainder of 296.
Record the quotient 4 as the next digit in the result. 
Result so far: 41198.51044
Deduct 3064 from 3360 and we're left with 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

The quotient of the division is 41198.51044, and the remainder is 0.000296.