We're dividing 42581170 by 766 
Our goal is to divide 42581170 by 766.

Advancing to step 1:
When dividing 4 by 766, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 766

Going ahead to step 2:
42 divided by 766 is 0 with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Append the next digit (5) from the dividend to 42 and continue with: 425 / 766

Advancing to step 3:
425 divided by 766 is 0 with a remainder of 425.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 425 and we're left with 425.
Append the next digit (8) from the dividend to 425 and continue with: 4258 / 766

Step 4:
766 can be fit into 4258 5 times, resulting in a remainder of 428.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 3830 from 4258 to get 428.
Grab the next digit (1) from the dividend, add it to 428, then carry on: 4281 / 766

On to step 5:
4281 divided by 766 is 5 with a remainder of 451.
Write down 5 as next digit of the result. 
Result so far: 55.0
Deduct 3830 from 4281 and we're left with 451.
Fetch the next digit (1) from the dividend, attach it to 451 and continue: 4511 / 766

On to step 6:
4511 divided by 766 is 5 with a remainder of 681.
Record the quotient 5 as the next digit in the result. 
Result so far: 555.0
Deduct 3830 from 4511 and we're left with 681.
Fetch the next digit (7) from the dividend, attach it to 681 and continue: 6817 / 766

On to step 7:
If we divide 6817 by 766, we get 8 and a remainder of 689.
The number 8 becomes the next digit in our result. 
Result so far: 5558.0
Subtract 6128 from 6817 to get 689.
Bring next digit (0) of the dividend behind the 689 and repeat the process: 6890 / 766

Advancing to step 8:
If we divide 6890 by 766, we get 8 and a remainder of 762.
Record the quotient 8 as the next digit in the result. 
Result so far: 55588.0
If we subtract 6128 from 6890, we get 762.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7620, and continue the process.

Advancing to step 9:
If we divide 7620 by 766, we get 9 and a remainder of 726.
Write down 9 as next digit of the result. 
Result so far: 55588.9
Subtracting 6894 from 7620 leaves us with 726.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7260, and continue the process.

Going ahead to step 10:
If we divide 7260 by 766, we get 9 and a remainder of 366.
Put 9 as the next digit of the answer. 
Result so far: 55588.99
The remainder is 366 after subtracting 6894 from 7260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

In conclusion, the division gives 55588.99 with a balance of 0.366.