We're dividing 72271591 by 953 
We want to figure out the number of times 72271591 can be divided by 953.

On to step 1:
If we divide 7 by 953, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 953

Let's proceed to step 2:
953 goes into 72 0 times with a remainder of 72.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 72 to get 72.
Bring next digit (2) of the dividend behind the 72 and repeat the process: 722 / 953

Moving on to step 3:
When dividing 722 by 953, we get 0 with a remainder of 722.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 722 to get 722.
Include the next digit (7) from the dividend after 722, then repeat: 7227 / 953

Let's proceed to step 4:
The number 953 fits into 7227 7 times, leaving a remainder of 556.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 6671 from 7227 and we're left with 556.
Bring next digit (1) of the dividend behind the 556 and repeat the process: 5561 / 953

Going ahead to step 5:
When dividing 5561 by 953, we get 5 with a remainder of 796.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
If we take 4765 away from 5561, we end up with 796.
Bring next digit (5) of the dividend behind the 796 and repeat the process: 7965 / 953

Going ahead to step 6:
953 can be fit into 7965 8 times, resulting in a remainder of 341.
Record the quotient 8 as the next digit in the result. 
Result so far: 758.0
Subtract 7624 from 7965 to get 341.
Fetch the next digit (9) from the dividend, attach it to 341 and continue: 3419 / 953

Going ahead to step 7:
When dividing 3419 by 953, we get 3 with a remainder of 560.
Use 3 as the next digit of our solution. 
Result so far: 7583.0
If we take 2859 away from 3419, we end up with 560.
Append the next digit (1) from the dividend to 560 and continue with: 5601 / 953

Step 8:
5601 divided by 953 is 5 with a remainder of 836.
The number 5 becomes the next digit in our result. 
Result so far: 75835.0
Subtract 4765 from 5601 to get 836.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8360, and continue the process.

Moving on to step 9:
When dividing 8360 by 953, we get 8 with a remainder of 736.
Write down 8 as next digit of the result. 
Result so far: 75835.8
Subtracting 7624 from 8360 leaves us with 736.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7360, and continue the process.

Going ahead to step 10:
The number 953 fits into 7360 7 times, leaving a remainder of 689.
Write down 7 as next digit of the result. 
Result so far: 75835.87
Deduct 6671 from 7360 and we're left with 689.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6890, and continue the process.

Going ahead to step 11:
The number 953 fits into 6890 7 times, leaving a remainder of 219.
Use 7 as the next digit of our solution. 
Result so far: 75835.877
Deduct 6671 from 6890 and we're left with 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

In conclusion, the division gives 75835.877 with a balance of 0.0219.