We're dividing 9637982 by 853 
Our goal is to divide 9637982 by 853.

Advancing to step 1:
When dividing 9 by 853, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 853

Step 2:
96 divided by 853 is 0 with a remainder of 96.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 96 after subtracting 0 from 96.
Include the next digit (3) from the dividend after 96, then repeat: 963 / 853

Step 3:
853 goes into 963 1 times with a remainder of 110.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 853 from 963 to get 110.
Grab the next digit (7) from the dividend, add it to 110, then carry on: 1107 / 853

On to step 4:
1107 divided by 853 is 1 with a remainder of 254.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 853 away from 1107, we end up with 254.
Fetch the next digit (9) from the dividend, attach it to 254 and continue: 2549 / 853

Step 5:
2549 divided by 853 is 2 with a remainder of 843.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
Subtracting 1706 from 2549 leaves us with 843.
Append the next digit (8) from the dividend to 843 and continue with: 8438 / 853

Moving on to step 6:
When dividing 8438 by 853, we get 9 with a remainder of 761.
Put 9 as the next digit of the answer. 
Result so far: 1129.0
Subtracting 7677 from 8438 leaves us with 761.
Append the next digit (2) from the dividend to 761 and continue with: 7612 / 853

Step 7:
When dividing 7612 by 853, we get 8 with a remainder of 788.
Write down 8 as next digit of the result. 
Result so far: 11298.0
Deduct 6824 from 7612 and we're left with 788.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7880, and continue the process.

Advancing to step 8:
853 goes into 7880 9 times with a remainder of 203.
The number 9 becomes the next digit in our result. 
Result so far: 11298.9
Subtract 7677 from 7880 to get 203.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2030, and continue the process.

Let's proceed to step 9:
853 goes into 2030 2 times with a remainder of 324.
Use 2 as the next digit of our solution. 
Result so far: 11298.92
The remainder is 324 after subtracting 1706 from 2030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

On to step 10:
3240 divided by 853 is 3 with a remainder of 681.
Record the quotient 3 as the next digit in the result. 
Result so far: 11298.923
The remainder is 681 after subtracting 2559 from 3240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6810, and continue the process.

On to step 11:
6810 divided by 853 is 7 with a remainder of 839.
The number 7 becomes the next digit in our result. 
Result so far: 11298.9237
If we subtract 5971 from 6810, we get 839.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8390, and continue the process.

Moving on to step 12:
853 can be fit into 8390 9 times, resulting in a remainder of 713.
Put 9 as the next digit of the answer. 
Result so far: 11298.92379
Deduct 7677 from 8390 and we're left with 713.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7130, and continue the process.

Going ahead to step 13:
7130 divided by 853 is 8 with a remainder of 306.
Record the quotient 8 as the next digit in the result. 
Result so far: 11298.923798
If we take 6824 away from 7130, we end up with 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

Step 14:
If we divide 3060 by 853, we get 3 and a remainder of 501.
Record the quotient 3 as the next digit in the result. 
Result so far: 11298.9237983
Deduct 2559 from 3060 and we're left with 501.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5010, and continue the process.

Step 15:
853 goes into 5010 5 times with a remainder of 745.
Record the quotient 5 as the next digit in the result. 
Result so far: 11298.92379835
If we subtract 4265 from 5010, we get 745.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7450, and continue the process.

After the division, we end up with 11298.92379835 and a remainder of 7.45e-07.