9091741 ÷ 764 
Our goal is to divide 9091741 by 764.

Advancing to step 1:
9 divided by 764 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 764

Moving on to step 2:
If we divide 90 by 764, we get 0 and a remainder of 90.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 90, we end up with 90.
Include the next digit (9) from the dividend after 90, then repeat: 909 / 764

Moving on to step 3:
909 divided by 764 is 1 with a remainder of 145.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 764 from 909, we get 145.
Take the next digit (1) from the dividend and append it to 145, then repeat: 1451 / 764

Advancing to step 4:
764 goes into 1451 1 times with a remainder of 687.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 764 from 1451 to get 687.
Fetch the next digit (7) from the dividend, attach it to 687 and continue: 6877 / 764

Moving on to step 5:
764 goes into 6877 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
If we subtract 6876 from 6877, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 764

Advancing to step 6:
764 can be fit into 14 0 times, resulting in a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 1190.0
If we subtract 0 from 14, we get 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 764

On to step 7:
The number 764 fits into 141 0 times, leaving a remainder of 141.
Write down 0 as next digit of the result. 
Result so far: 11900.0
The remainder is 141 after subtracting 0 from 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Step 8:
1410 divided by 764 is 1 with a remainder of 646.
Write down 1 as next digit of the result. 
Result so far: 11900.1
Subtracting 764 from 1410 leaves us with 646.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6460, and continue the process.

Let's proceed to step 9:
6460 divided by 764 is 8 with a remainder of 348.
Write down 8 as next digit of the result. 
Result so far: 11900.18
Subtracting 6112 from 6460 leaves us with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Moving on to step 10:
If we divide 3480 by 764, we get 4 and a remainder of 424.
Use 4 as the next digit of our solution. 
Result so far: 11900.184
Deduct 3056 from 3480 and we're left with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Going ahead to step 11:
When dividing 4240 by 764, we get 5 with a remainder of 420.
The number 5 becomes the next digit in our result. 
Result so far: 11900.1845
Deduct 3820 from 4240 and we're left with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Advancing to step 12:
764 goes into 4200 5 times with a remainder of 380.
Use 5 as the next digit of our solution. 
Result so far: 11900.18455
The remainder is 380 after subtracting 3820 from 4200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Our division results in 11900.18455 with a remaining 0.00038.