971959 ÷ 89 
We're looking to find how many times 89 goes into 971959.

Going ahead to step 1:
The number 89 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 89

Going ahead to step 2:
When dividing 97 by 89, we get 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 89 away from 97, we end up with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 89

Moving on to step 3:
If we divide 81 by 89, we get 0 and a remainder of 81.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 81 and we're left with 81.
Append the next digit (9) from the dividend to 81 and continue with: 819 / 89

Advancing to step 4:
89 goes into 819 9 times with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 109.0
If we subtract 801 from 819, we get 18.
Take the next digit (5) from the dividend and append it to 18, then repeat: 185 / 89

Step 5:
89 goes into 185 2 times with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 1092.0
If we subtract 178 from 185, we get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 89

Moving on to step 6:
89 goes into 79 0 times with a remainder of 79.
The number 0 becomes the next digit in our result. 
Result so far: 10920.0
Subtract 0 from 79 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 7:
When dividing 790 by 89, we get 8 with a remainder of 78.
Use 8 as the next digit of our solution. 
Result so far: 10920.8
Deduct 712 from 790 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 8:
89 goes into 780 8 times with a remainder of 68.
Put 8 as the next digit of the answer. 
Result so far: 10920.88
Subtract 712 from 780 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

After the division, we end up with 10920.88 and a remainder of 0.068.