We're dividing 6518321 by 749 
We want to figure out the number of times 6518321 can be divided by 749.

On to step 1:
The number 749 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 749

Going ahead to step 2:
If we divide 65 by 749, we get 0 and a remainder of 65.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 65 after subtracting 0 from 65.
Fetch the next digit (1) from the dividend, attach it to 65 and continue: 651 / 749

Going ahead to step 3:
749 goes into 651 0 times with a remainder of 651.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 651, we end up with 651.
Bring next digit (8) of the dividend behind the 651 and repeat the process: 6518 / 749

On to step 4:
749 goes into 6518 8 times with a remainder of 526.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 5992 from 6518 and we're left with 526.
Take the next digit (3) from the dividend and append it to 526, then repeat: 5263 / 749

Step 5:
749 can be fit into 5263 7 times, resulting in a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
Deduct 5243 from 5263 and we're left with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 749

Step 6:
749 goes into 202 0 times with a remainder of 202.
The next digit of our result is 0. 
Result so far: 870.0
The remainder is 202 after subtracting 0 from 202.
Grab the next digit (1) from the dividend, add it to 202, then carry on: 2021 / 749

Going ahead to step 7:
749 can be fit into 2021 2 times, resulting in a remainder of 523.
The number 2 becomes the next digit in our result. 
Result so far: 8702.0
If we subtract 1498 from 2021, we get 523.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5230, and continue the process.

Step 8:
5230 divided by 749 is 6 with a remainder of 736.
Record the quotient 6 as the next digit in the result. 
Result so far: 8702.6
Subtract 4494 from 5230 to get 736.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7360, and continue the process.

On to step 9:
7360 divided by 749 is 9 with a remainder of 619.
Record the quotient 9 as the next digit in the result. 
Result so far: 8702.69
Subtracting 6741 from 7360 leaves us with 619.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6190, and continue the process.

Going ahead to step 10:
If we divide 6190 by 749, we get 8 and a remainder of 198.
Record the quotient 8 as the next digit in the result. 
Result so far: 8702.698
Deduct 5992 from 6190 and we're left with 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Step 11:
1980 divided by 749 is 2 with a remainder of 482.
Put 2 as the next digit of the answer. 
Result so far: 8702.6982
If we subtract 1498 from 1980, we get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Let's proceed to step 12:
4820 divided by 749 is 6 with a remainder of 326.
The number 6 becomes the next digit in our result. 
Result so far: 8702.69826
Subtracting 4494 from 4820 leaves us with 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Let's proceed to step 13:
749 can be fit into 3260 4 times, resulting in a remainder of 264.
Use 4 as the next digit of our solution. 
Result so far: 8702.698264
If we take 2996 away from 3260, we end up with 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Step 14:
749 goes into 2640 3 times with a remainder of 393.
The next digit of our result is 3. 
Result so far: 8702.6982643
Subtracting 2247 from 2640 leaves us with 393.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3930, and continue the process.

Step 15:
749 goes into 3930 5 times with a remainder of 185.
Record the quotient 5 as the next digit in the result. 
Result so far: 8702.69826435
If we subtract 3745 from 3930, we get 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

The final result is 8702.69826435 with a remainder of 1.85e-07.