We look at the division of 945431 by 971 
We want to figure out the number of times 945431 can be divided by 971.

Moving on to step 1:
The number 971 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 971

Step 2:
If we divide 94 by 971, we get 0 and a remainder of 94.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 94 and we're left with 94.
Fetch the next digit (5) from the dividend, attach it to 94 and continue: 945 / 971

Moving on to step 3:
The number 971 fits into 945 0 times, leaving a remainder of 945.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 945 after subtracting 0 from 945.
Append the next digit (4) from the dividend to 945 and continue with: 9454 / 971

Moving on to step 4:
9454 divided by 971 is 9 with a remainder of 715.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 8739 away from 9454, we end up with 715.
Bring next digit (3) of the dividend behind the 715 and repeat the process: 7153 / 971

Advancing to step 5:
971 goes into 7153 7 times with a remainder of 356.
Put 7 as the next digit of the answer. 
Result so far: 97.0
Subtract 6797 from 7153 to get 356.
Append the next digit (1) from the dividend to 356 and continue with: 3561 / 971

Going ahead to step 6:
971 can be fit into 3561 3 times, resulting in a remainder of 648.
Use 3 as the next digit of our solution. 
Result so far: 973.0
Subtracting 2913 from 3561 leaves us with 648.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6480, and continue the process.

Moving on to step 7:
When dividing 6480 by 971, we get 6 with a remainder of 654.
Write down 6 as next digit of the result. 
Result so far: 973.6
If we take 5826 away from 6480, we end up with 654.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6540, and continue the process.

Moving on to step 8:
971 goes into 6540 6 times with a remainder of 714.
Use 6 as the next digit of our solution. 
Result so far: 973.66
The remainder is 714 after subtracting 5826 from 6540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7140, and continue the process.

The final result is 973.66 with a remainder of 0.714.