81953 divided by 91 
We want to figure out the number of times 81953 can be divided by 91.

Let's proceed to step 1:
If we divide 8 by 91, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 91

Let's proceed to step 2:
91 goes into 81 0 times with a remainder of 81.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 81, we end up with 81.
Fetch the next digit (9) from the dividend, attach it to 81 and continue: 819 / 91

On to step 3:
91 can be fit into 819 9 times, resulting in a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 819 from 819, we get 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 91

Moving on to step 4:
When dividing 5 by 91, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 90.0
Subtract 0 from 5 to get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 91

Let's proceed to step 5:
The number 91 fits into 53 0 times, leaving a remainder of 53.
The next digit of our result is 0. 
Result so far: 900.0
If we take 0 away from 53, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 6:
91 can be fit into 530 5 times, resulting in a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 900.5
The remainder is 75 after subtracting 455 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 7:
91 goes into 750 8 times with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 900.58
Subtracting 728 from 750 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
When dividing 220 by 91, we get 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 900.582
If we take 182 away from 220, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
The number 91 fits into 380 4 times, leaving a remainder of 16.
The next digit of our result is 4. 
Result so far: 900.5824
Subtracting 364 from 380 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
The number 91 fits into 160 1 times, leaving a remainder of 69.
Use 1 as the next digit of our solution. 
Result so far: 900.58241
Deduct 91 from 160 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 11:
If we divide 690 by 91, we get 7 and a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 900.582417
Deduct 637 from 690 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 12:
When dividing 530 by 91, we get 5 with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 900.5824175
The remainder is 75 after subtracting 455 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 13:
The number 91 fits into 750 8 times, leaving a remainder of 22.
The next digit of our result is 8. 
Result so far: 900.58241758
If we subtract 728 from 750, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 900.58241758 with a balance of 2.2e-08.