We divide 17651678 by 766
We want to divide 17651678 by 766.

On to step 1:
766 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 766

Let's proceed to step 2:
17 divided by 766 is 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 766

Step 3:
176 divided by 766 is 0 with a remainder of 176.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 176, we get 176.
Include the next digit (5) from the dividend after 176, then repeat: 1765 / 766

Let's proceed to step 4:
If we divide 1765 by 766, we get 2 and a remainder of 233.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 1532 from 1765, we get 233.
Grab the next digit (1) from the dividend, add it to 233, then carry on: 2331 / 766

Step 5:
If we divide 2331 by 766, we get 3 and a remainder of 33.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Deduct 2298 from 2331 and we're left with 33.
Grab the next digit (6) from the dividend, add it to 33, then carry on: 336 / 766

Moving on to step 6:
When dividing 336 by 766, we get 0 with a remainder of 336.
The next digit of our result is 0. 
Result so far: 230.0
Subtract 0 from 336 to get 336.
Bring next digit (7) of the dividend behind the 336 and repeat the process: 3367 / 766

Let's proceed to step 7:
766 can be fit into 3367 4 times, resulting in a remainder of 303.
The next digit of our result is 4. 
Result so far: 2304.0
Deduct 3064 from 3367 and we're left with 303.
Fetch the next digit (8) from the dividend, attach it to 303 and continue: 3038 / 766

Advancing to step 8:
3038 divided by 766 is 3 with a remainder of 740.
The next digit of our result is 3. 
Result so far: 23043.0
If we subtract 2298 from 3038, we get 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7400, and continue the process.

On to step 9:
The number 766 fits into 7400 9 times, leaving a remainder of 506.
The next digit of our result is 9. 
Result so far: 23043.9
If we subtract 6894 from 7400, we get 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

Let's proceed to step 10:
5060 divided by 766 is 6 with a remainder of 464.
The next digit of our result is 6. 
Result so far: 23043.96
Subtracting 4596 from 5060 leaves us with 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Let's proceed to step 11:
If we divide 4640 by 766, we get 6 and a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 23043.966
The remainder is 44 after subtracting 4596 from 4640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The quotient of the division is 23043.966, and the remainder is 0.0044.