6735512 ÷ 521 
Our goal is to divide 6735512 by 521.

Step 1:
The number 521 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 521

Going ahead to step 2:
When dividing 67 by 521, we get 0 with a remainder of 67.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Grab the next digit (3) from the dividend, add it to 67, then carry on: 673 / 521

Advancing to step 3:
673 divided by 521 is 1 with a remainder of 152.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 521 from 673, we get 152.
Bring next digit (5) of the dividend behind the 152 and repeat the process: 1525 / 521

Let's proceed to step 4:
521 goes into 1525 2 times with a remainder of 483.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 1042 from 1525, we get 483.
Bring next digit (5) of the dividend behind the 483 and repeat the process: 4835 / 521

On to step 5:
The number 521 fits into 4835 9 times, leaving a remainder of 146.
Record the quotient 9 as the next digit in the result. 
Result so far: 129.0
Subtract 4689 from 4835 to get 146.
Bring next digit (1) of the dividend behind the 146 and repeat the process: 1461 / 521

Going ahead to step 6:
If we divide 1461 by 521, we get 2 and a remainder of 419.
Put 2 as the next digit of the answer. 
Result so far: 1292.0
The remainder is 419 after subtracting 1042 from 1461.
Include the next digit (2) from the dividend after 419, then repeat: 4192 / 521

Going ahead to step 7:
521 goes into 4192 8 times with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 12928.0
If we take 4168 away from 4192, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
When dividing 240 by 521, we get 0 with a remainder of 240.
Write down 0 as next digit of the result. 
Result so far: 12928.0
If we subtract 0 from 240, we get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Moving on to step 9:
When dividing 2400 by 521, we get 4 with a remainder of 316.
Put 4 as the next digit of the answer. 
Result so far: 12928.04
Subtract 2084 from 2400 to get 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Step 10:
The number 521 fits into 3160 6 times, leaving a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 12928.046
Deduct 3126 from 3160 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
521 goes into 340 0 times with a remainder of 340.
Record the quotient 0 as the next digit in the result. 
Result so far: 12928.046
Subtracting 0 from 340 leaves us with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Step 12:
When dividing 3400 by 521, we get 6 with a remainder of 274.
Write down 6 as next digit of the result. 
Result so far: 12928.04606
Subtract 3126 from 3400 to get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Going ahead to step 13:
521 goes into 2740 5 times with a remainder of 135.
Put 5 as the next digit of the answer. 
Result so far: 12928.046065
The remainder is 135 after subtracting 2605 from 2740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Advancing to step 14:
The number 521 fits into 1350 2 times, leaving a remainder of 308.
Write down 2 as next digit of the result. 
Result so far: 12928.0460652
If we take 1042 away from 1350, we end up with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Advancing to step 15:
521 goes into 3080 5 times with a remainder of 475.
Use 5 as the next digit of our solution. 
Result so far: 12928.04606525
If we take 2605 away from 3080, we end up with 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

After the division, we end up with 12928.04606525 and a remainder of 4.75e-07.