We look at the division of 4612458 by 766 
Our goal is to divide 4612458 by 766.

Advancing to step 1:
When dividing 4 by 766, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 766

Going ahead to step 2:
46 divided by 766 is 0 with a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 46 leaves us with 46.
Append the next digit (1) from the dividend to 46 and continue with: 461 / 766

Let's proceed to step 3:
If we divide 461 by 766, we get 0 and a remainder of 461.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 461 to get 461.
Append the next digit (2) from the dividend to 461 and continue with: 4612 / 766

On to step 4:
766 goes into 4612 6 times with a remainder of 16.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 4596 from 4612, we get 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 766

On to step 5:
766 goes into 164 0 times with a remainder of 164.
The next digit of our result is 0. 
Result so far: 60.0
Subtracting 0 from 164 leaves us with 164.
Fetch the next digit (5) from the dividend, attach it to 164 and continue: 1645 / 766

Moving on to step 6:
766 goes into 1645 2 times with a remainder of 113.
The next digit of our result is 2. 
Result so far: 602.0
The remainder is 113 after subtracting 1532 from 1645.
Grab the next digit (8) from the dividend, add it to 113, then carry on: 1138 / 766

Step 7:
1138 divided by 766 is 1 with a remainder of 372.
Record the quotient 1 as the next digit in the result. 
Result so far: 6021.0
The remainder is 372 after subtracting 766 from 1138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Step 8:
The number 766 fits into 3720 4 times, leaving a remainder of 656.
Use 4 as the next digit of our solution. 
Result so far: 6021.4
Subtract 3064 from 3720 to get 656.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6560, and continue the process.

Step 9:
6560 divided by 766 is 8 with a remainder of 432.
Write down 8 as next digit of the result. 
Result so far: 6021.48
Subtracting 6128 from 6560 leaves us with 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

On to step 10:
4320 divided by 766 is 5 with a remainder of 490.
Put 5 as the next digit of the answer. 
Result so far: 6021.485
Subtract 3830 from 4320 to get 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

Moving on to step 11:
766 can be fit into 4900 6 times, resulting in a remainder of 304.
The number 6 becomes the next digit in our result. 
Result so far: 6021.4856
Deduct 4596 from 4900 and we're left with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Let's proceed to step 12:
766 can be fit into 3040 3 times, resulting in a remainder of 742.
The number 3 becomes the next digit in our result. 
Result so far: 6021.48563
Deduct 2298 from 3040 and we're left with 742.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7420, and continue the process.

Going ahead to step 13:
766 goes into 7420 9 times with a remainder of 526.
Put 9 as the next digit of the answer. 
Result so far: 6021.485639
Deduct 6894 from 7420 and we're left with 526.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5260, and continue the process.

On to step 14:
If we divide 5260 by 766, we get 6 and a remainder of 664.
Write down 6 as next digit of the result. 
Result so far: 6021.4856396
If we take 4596 away from 5260, we end up with 664.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6640, and continue the process.

Advancing to step 15:
If we divide 6640 by 766, we get 8 and a remainder of 512.
Use 8 as the next digit of our solution. 
Result so far: 6021.48563968
Deduct 6128 from 6640 and we're left with 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

The final result is 6021.48563968 with a remainder of 5.12e-07.