We're dividing 13646528 by 749 
We're looking to find how many times 749 goes into 13646528.

Step 1:
The number 749 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 749

On to step 2:
When dividing 13 by 749, we get 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 749

Let's proceed to step 3:
When dividing 136 by 749, we get 0 with a remainder of 136.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 136 leaves us with 136.
Append the next digit (4) from the dividend to 136 and continue with: 1364 / 749

Advancing to step 4:
1364 divided by 749 is 1 with a remainder of 615.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 749 away from 1364, we end up with 615.
Grab the next digit (6) from the dividend, add it to 615, then carry on: 6156 / 749

Let's proceed to step 5:
If we divide 6156 by 749, we get 8 and a remainder of 164.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Subtract 5992 from 6156 to get 164.
Take the next digit (5) from the dividend and append it to 164, then repeat: 1645 / 749

Let's proceed to step 6:
1645 divided by 749 is 2 with a remainder of 147.
The next digit of our result is 2. 
Result so far: 182.0
Subtract 1498 from 1645 to get 147.
Bring next digit (2) of the dividend behind the 147 and repeat the process: 1472 / 749

Going ahead to step 7:
If we divide 1472 by 749, we get 1 and a remainder of 723.
The number 1 becomes the next digit in our result. 
Result so far: 1821.0
If we subtract 749 from 1472, we get 723.
Take the next digit (8) from the dividend and append it to 723, then repeat: 7238 / 749

Moving on to step 8:
7238 divided by 749 is 9 with a remainder of 497.
Put 9 as the next digit of the answer. 
Result so far: 18219.0
The remainder is 497 after subtracting 6741 from 7238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4970, and continue the process.

Step 9:
749 goes into 4970 6 times with a remainder of 476.
Record the quotient 6 as the next digit in the result. 
Result so far: 18219.6
Subtracting 4494 from 4970 leaves us with 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

On to step 10:
If we divide 4760 by 749, we get 6 and a remainder of 266.
Put 6 as the next digit of the answer. 
Result so far: 18219.66
If we take 4494 away from 4760, we end up with 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

The quotient of the division is 18219.66, and the remainder is 0.266.