We're dividing 811189 by 953 
We want to divide 811189 by 953.

Advancing to step 1:
When dividing 8 by 953, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 953

Going ahead to step 2:
If we divide 81 by 953, we get 0 and a remainder of 81.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 81 after subtracting 0 from 81.
Grab the next digit (1) from the dividend, add it to 81, then carry on: 811 / 953

Going ahead to step 3:
953 can be fit into 811 0 times, resulting in a remainder of 811.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 811, we get 811.
Grab the next digit (1) from the dividend, add it to 811, then carry on: 8111 / 953

Step 4:
The number 953 fits into 8111 8 times, leaving a remainder of 487.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 487 after subtracting 7624 from 8111.
Bring next digit (8) of the dividend behind the 487 and repeat the process: 4878 / 953

Moving on to step 5:
When dividing 4878 by 953, we get 5 with a remainder of 113.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Deduct 4765 from 4878 and we're left with 113.
Take the next digit (9) from the dividend and append it to 113, then repeat: 1139 / 953

Let's proceed to step 6:
The number 953 fits into 1139 1 times, leaving a remainder of 186.
Record the quotient 1 as the next digit in the result. 
Result so far: 851.0
If we take 953 away from 1139, we end up with 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

Going ahead to step 7:
1860 divided by 953 is 1 with a remainder of 907.
Put 1 as the next digit of the answer. 
Result so far: 851.1
If we subtract 953 from 1860, we get 907.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9070, and continue the process.

Advancing to step 8:
953 goes into 9070 9 times with a remainder of 493.
The next digit of our result is 9. 
Result so far: 851.19
If we take 8577 away from 9070, we end up with 493.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4930, and continue the process.

Let's proceed to step 9:
If we divide 4930 by 953, we get 5 and a remainder of 165.
Use 5 as the next digit of our solution. 
Result so far: 851.195
Subtracting 4765 from 4930 leaves us with 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

On to step 10:
953 can be fit into 1650 1 times, resulting in a remainder of 697.
The next digit of our result is 1. 
Result so far: 851.1951
Deduct 953 from 1650 and we're left with 697.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6970, and continue the process.

On to step 11:
If we divide 6970 by 953, we get 7 and a remainder of 299.
The next digit of our result is 7. 
Result so far: 851.19517
Subtracting 6671 from 6970 leaves us with 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

On to step 12:
2990 divided by 953 is 3 with a remainder of 131.
The number 3 becomes the next digit in our result. 
Result so far: 851.195173
The remainder is 131 after subtracting 2859 from 2990.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Advancing to step 13:
When dividing 1310 by 953, we get 1 with a remainder of 357.
The next digit of our result is 1. 
Result so far: 851.1951731
If we subtract 953 from 1310, we get 357.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3570, and continue the process.

Step 14:
If we divide 3570 by 953, we get 3 and a remainder of 711.
The number 3 becomes the next digit in our result. 
Result so far: 851.19517313
If we subtract 2859 from 3570, we get 711.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7110, and continue the process.

In conclusion, the division gives 851.19517313 with a balance of 7.11e-07.