We look at the division of 12521737 by 684 
Our goal is to divide 12521737 by 684.

Going ahead to step 1:
1 divided by 684 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 684

On to step 2:
12 divided by 684 is 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 684

Advancing to step 3:
When dividing 125 by 684, we get 0 with a remainder of 125.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 125 after subtracting 0 from 125.
Append the next digit (2) from the dividend to 125 and continue with: 1252 / 684

Let's proceed to step 4:
684 can be fit into 1252 1 times, resulting in a remainder of 568.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 568 after subtracting 684 from 1252.
Grab the next digit (1) from the dividend, add it to 568, then carry on: 5681 / 684

Moving on to step 5:
5681 divided by 684 is 8 with a remainder of 209.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we subtract 5472 from 5681, we get 209.
Append the next digit (7) from the dividend to 209 and continue with: 2097 / 684

Moving on to step 6:
The number 684 fits into 2097 3 times, leaving a remainder of 45.
Record the quotient 3 as the next digit in the result. 
Result so far: 183.0
Subtracting 2052 from 2097 leaves us with 45.
Take the next digit (3) from the dividend and append it to 45, then repeat: 453 / 684

Moving on to step 7:
453 divided by 684 is 0 with a remainder of 453.
The number 0 becomes the next digit in our result. 
Result so far: 1830.0
Subtracting 0 from 453 leaves us with 453.
Take the next digit (7) from the dividend and append it to 453, then repeat: 4537 / 684

Let's proceed to step 8:
4537 divided by 684 is 6 with a remainder of 433.
Put 6 as the next digit of the answer. 
Result so far: 18306.0
Subtracting 4104 from 4537 leaves us with 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4330, and continue the process.

Going ahead to step 9:
4330 divided by 684 is 6 with a remainder of 226.
Use 6 as the next digit of our solution. 
Result so far: 18306.6
If we take 4104 away from 4330, we end up with 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

Moving on to step 10:
684 goes into 2260 3 times with a remainder of 208.
The next digit of our result is 3. 
Result so far: 18306.63
Deduct 2052 from 2260 and we're left with 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Let's proceed to step 11:
684 can be fit into 2080 3 times, resulting in a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 18306.633
The remainder is 28 after subtracting 2052 from 2080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 18306.633, and the remainder is 0.0028.