We divide 905661 by 89
We want to divide 905661 by 89.

Going ahead to step 1:
The number 89 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 89

Step 2:
89 goes into 90 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 1 after subtracting 89 from 90.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 89

Going ahead to step 3:
When dividing 15 by 89, we get 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 15, we get 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 89

Let's proceed to step 4:
89 can be fit into 156 1 times, resulting in a remainder of 67.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
The remainder is 67 after subtracting 89 from 156.
Bring next digit (6) of the dividend behind the 67 and repeat the process: 676 / 89

Moving on to step 5:
89 goes into 676 7 times with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 1017.0
Deduct 623 from 676 and we're left with 53.
Take the next digit (1) from the dividend and append it to 53, then repeat: 531 / 89

Let's proceed to step 6:
531 divided by 89 is 5 with a remainder of 86.
Record the quotient 5 as the next digit in the result. 
Result so far: 10175.0
Subtracting 445 from 531 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 7:
860 divided by 89 is 9 with a remainder of 59.
Put 9 as the next digit of the answer. 
Result so far: 10175.9
If we subtract 801 from 860, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 8:
89 can be fit into 590 6 times, resulting in a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 10175.96
Deduct 534 from 590 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 9:
89 can be fit into 560 6 times, resulting in a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 10175.966
Deduct 534 from 560 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 10175.966, and the remainder is 0.0026.