Let's divide 1737421 by 513
Our goal is to divide 1737421 by 513.

On to step 1:
513 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 513

Let's proceed to step 2:
When dividing 17 by 513, we get 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.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 513

Step 3:
173 divided by 513 is 0 with a remainder of 173.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 173 leaves us with 173.
Include the next digit (7) from the dividend after 173, then repeat: 1737 / 513

Moving on to step 4:
513 can be fit into 1737 3 times, resulting in a remainder of 198.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 1539 from 1737 and we're left with 198.
Fetch the next digit (4) from the dividend, attach it to 198 and continue: 1984 / 513

On to step 5:
513 goes into 1984 3 times with a remainder of 445.
Put 3 as the next digit of the answer. 
Result so far: 33.0
If we subtract 1539 from 1984, we get 445.
Append the next digit (2) from the dividend to 445 and continue with: 4452 / 513

Step 6:
If we divide 4452 by 513, we get 8 and a remainder of 348.
Put 8 as the next digit of the answer. 
Result so far: 338.0
If we subtract 4104 from 4452, we get 348.
Take the next digit (1) from the dividend and append it to 348, then repeat: 3481 / 513

On to step 7:
When dividing 3481 by 513, we get 6 with a remainder of 403.
Put 6 as the next digit of the answer. 
Result so far: 3386.0
Subtract 3078 from 3481 to get 403.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4030, and continue the process.

On to step 8:
513 goes into 4030 7 times with a remainder of 439.
Record the quotient 7 as the next digit in the result. 
Result so far: 3386.7
If we subtract 3591 from 4030, we get 439.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4390, and continue the process.

On to step 9:
If we divide 4390 by 513, we get 8 and a remainder of 286.
Write down 8 as next digit of the result. 
Result so far: 3386.78
The remainder is 286 after subtracting 4104 from 4390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

Advancing to step 10:
513 goes into 2860 5 times with a remainder of 295.
Write down 5 as next digit of the result. 
Result so far: 3386.785
Subtracting 2565 from 2860 leaves us with 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Let's proceed to step 11:
513 can be fit into 2950 5 times, resulting in a remainder of 385.
The next digit of our result is 5. 
Result so far: 3386.7855
Subtracting 2565 from 2950 leaves us with 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

The final result is 3386.7855 with a remainder of 0.00385.