We look at the division of 81114322 by 953 
Let's see how many times 953 fits into 81114322.

Step 1:
953 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 953

On to step 2:
953 goes into 81 0 times with a remainder of 81.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 81, we end up with 81.
Append the next digit (1) from the dividend to 81 and continue with: 811 / 953

Step 3:
When dividing 811 by 953, we get 0 with a remainder of 811.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 811, we end up with 811.
Append the next digit (1) from the dividend to 811 and continue with: 8111 / 953

Moving on to step 4:
If we divide 8111 by 953, we get 8 and a remainder of 487.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 7624 away from 8111, we end up with 487.
Fetch the next digit (4) from the dividend, attach it to 487 and continue: 4874 / 953

On to step 5:
The number 953 fits into 4874 5 times, leaving a remainder of 109.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
If we take 4765 away from 4874, we end up with 109.
Append the next digit (3) from the dividend to 109 and continue with: 1093 / 953

Let's proceed to step 6:
953 goes into 1093 1 times with a remainder of 140.
Use 1 as the next digit of our solution. 
Result so far: 851.0
If we subtract 953 from 1093, we get 140.
Append the next digit (2) from the dividend to 140 and continue with: 1402 / 953

Advancing to step 7:
953 can be fit into 1402 1 times, resulting in a remainder of 449.
The number 1 becomes the next digit in our result. 
Result so far: 8511.0
The remainder is 449 after subtracting 953 from 1402.
Take the next digit (2) from the dividend and append it to 449, then repeat: 4492 / 953

Let's proceed to step 8:
When dividing 4492 by 953, we get 4 with a remainder of 680.
Write down 4 as next digit of the result. 
Result so far: 85114.0
Subtract 3812 from 4492 to get 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

Advancing to step 9:
6800 divided by 953 is 7 with a remainder of 129.
Write down 7 as next digit of the result. 
Result so far: 85114.7
If we subtract 6671 from 6800, we get 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1290, and continue the process.

On to step 10:
The number 953 fits into 1290 1 times, leaving a remainder of 337.
The next digit of our result is 1. 
Result so far: 85114.71
If we subtract 953 from 1290, we get 337.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3370, and continue the process.

On to step 11:
The number 953 fits into 3370 3 times, leaving a remainder of 511.
Use 3 as the next digit of our solution. 
Result so far: 85114.713
Subtracting 2859 from 3370 leaves us with 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5110, and continue the process.

On to step 12:
953 can be fit into 5110 5 times, resulting in a remainder of 345.
Put 5 as the next digit of the answer. 
Result so far: 85114.7135
If we subtract 4765 from 5110, we get 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3450, and continue the process.

Let's proceed to step 13:
If we divide 3450 by 953, we get 3 and a remainder of 591.
Use 3 as the next digit of our solution. 
Result so far: 85114.71353
If we take 2859 away from 3450, we end up with 591.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5910, and continue the process.

Going ahead to step 14:
953 can be fit into 5910 6 times, resulting in a remainder of 192.
The number 6 becomes the next digit in our result. 
Result so far: 85114.713536
Subtracting 5718 from 5910 leaves us with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Advancing to step 15:
When dividing 1920 by 953, we get 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 85114.7135362
If we subtract 1906 from 1920, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 16:
140 divided by 953 is 0 with a remainder of 140.
Write down 0 as next digit of the result. 
Result so far: 85114.7135362
Subtracting 0 from 140 leaves us with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

In conclusion, the division gives 85114.7135362 with a balance of 1.4e-07.