We look at the division of 766741 by 23 
We're looking to find how many times 23 goes into 766741.

On to step 1:
23 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 23

Advancing to step 2:
If we divide 76 by 23, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 69 from 76 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 23

Moving on to step 3:
If we divide 76 by 23, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Deduct 69 from 76 and we're left with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 23

Let's proceed to step 4:
77 divided by 23 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 333.0
Subtracting 69 from 77 leaves us with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 23

On to step 5:
23 goes into 84 3 times with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 3333.0
Subtracting 69 from 84 leaves us with 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 23

Advancing to step 6:
The number 23 fits into 151 6 times, leaving a remainder of 13.
The next digit of our result is 6. 
Result so far: 33336.0
If we take 138 away from 151, we end up 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.

Step 7:
When dividing 130 by 23, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 33336.5
If we subtract 115 from 130, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
If we divide 150 by 23, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 33336.56
Subtracting 138 from 150 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
120 divided by 23 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 33336.565
Deduct 115 from 120 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
23 goes into 50 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 33336.5652
If we subtract 46 from 50, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
The number 23 fits into 40 1 times, leaving a remainder of 17.
The next digit of our result is 1. 
Result so far: 33336.56521
The remainder is 17 after subtracting 23 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 12:
The number 23 fits into 170 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 33336.565217
If we take 161 away from 170, we end up 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.

Moving on to step 13:
When dividing 90 by 23, we get 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 33336.5652173
If we subtract 69 from 90, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 14:
23 goes into 210 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 33336.56521739
Deduct 207 from 210 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 33336.56521739 with a remaining 3e-09.