We look at the division of 8436125 by 691 
Our goal is to divide 8436125 by 691.

On to step 1:
The number 691 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 691

Going ahead to step 2:
If we divide 84 by 691, we get 0 and a remainder of 84.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 84 to get 84.
Include the next digit (3) from the dividend after 84, then repeat: 843 / 691

Let's proceed to step 3:
691 goes into 843 1 times with a remainder of 152.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 691 from 843 leaves us with 152.
Fetch the next digit (6) from the dividend, attach it to 152 and continue: 1526 / 691

On to step 4:
691 goes into 1526 2 times with a remainder of 144.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 1382 from 1526, we get 144.
Append the next digit (1) from the dividend to 144 and continue with: 1441 / 691

Step 5:
691 can be fit into 1441 2 times, resulting in a remainder of 59.
Use 2 as the next digit of our solution. 
Result so far: 122.0
If we take 1382 away from 1441, we end up with 59.
Fetch the next digit (2) from the dividend, attach it to 59 and continue: 592 / 691

Step 6:
The number 691 fits into 592 0 times, leaving a remainder of 592.
The number 0 becomes the next digit in our result. 
Result so far: 1220.0
Subtracting 0 from 592 leaves us with 592.
Fetch the next digit (5) from the dividend, attach it to 592 and continue: 5925 / 691

On to step 7:
691 goes into 5925 8 times with a remainder of 397.
The next digit of our result is 8. 
Result so far: 12208.0
Subtract 5528 from 5925 to get 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Let's proceed to step 8:
When dividing 3970 by 691, we get 5 with a remainder of 515.
Record the quotient 5 as the next digit in the result. 
Result so far: 12208.5
Deduct 3455 from 3970 and we're left with 515.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5150, and continue the process.

Let's proceed to step 9:
691 goes into 5150 7 times with a remainder of 313.
Write down 7 as next digit of the result. 
Result so far: 12208.57
The remainder is 313 after subtracting 4837 from 5150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

Moving on to step 10:
If we divide 3130 by 691, we get 4 and a remainder of 366.
Record the quotient 4 as the next digit in the result. 
Result so far: 12208.574
Subtract 2764 from 3130 to get 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Going ahead to step 11:
When dividing 3660 by 691, we get 5 with a remainder of 205.
The number 5 becomes the next digit in our result. 
Result so far: 12208.5745
If we take 3455 away from 3660, we end up with 205.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2050, and continue the process.

Step 12:
691 can be fit into 2050 2 times, resulting in a remainder of 668.
Use 2 as the next digit of our solution. 
Result so far: 12208.57452
If we take 1382 away from 2050, we end up with 668.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6680, and continue the process.

Going ahead to step 13:
691 goes into 6680 9 times with a remainder of 461.
The next digit of our result is 9. 
Result so far: 12208.574529
If we take 6219 away from 6680, we end up with 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

Let's proceed to step 14:
When dividing 4610 by 691, we get 6 with a remainder of 464.
Use 6 as the next digit of our solution. 
Result so far: 12208.5745296
If we subtract 4146 from 4610, we get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Advancing to step 15:
691 can be fit into 4640 6 times, resulting in a remainder of 494.
The next digit of our result is 6. 
Result so far: 12208.57452966
Subtract 4146 from 4640 to get 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

The final result is 12208.57452966 with a remainder of 4.94e-07.