We're dividing 944634 by 89 
We want to divide 944634 by 89.

Advancing to step 1:
If we divide 9 by 89, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 89

Let's proceed to step 2:
The number 89 fits into 94 1 times, leaving a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 89 from 94 to get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 89

Let's proceed to step 3:
89 can be fit into 54 0 times, resulting in a remainder of 54.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 54 leaves us with 54.
Bring next digit (6) of the dividend behind the 54 and repeat the process: 546 / 89

Moving on to step 4:
The number 89 fits into 546 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
The remainder is 12 after subtracting 534 from 546.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 89

On to step 5:
If we divide 123 by 89, we get 1 and a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 1061.0
Subtract 89 from 123 to get 34.
Grab the next digit (4) from the dividend, add it to 34, then carry on: 344 / 89

Moving on to step 6:
If we divide 344 by 89, we get 3 and a remainder of 77.
Record the quotient 3 as the next digit in the result. 
Result so far: 10613.0
Deduct 267 from 344 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 7:
89 can be fit into 770 8 times, resulting in a remainder of 58.
Use 8 as the next digit of our solution. 
Result so far: 10613.8
The remainder is 58 after subtracting 712 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 8:
If we divide 580 by 89, we get 6 and a remainder of 46.
Record the quotient 6 as the next digit in the result. 
Result so far: 10613.86
Subtract 534 from 580 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 9:
460 divided by 89 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 10613.865
Subtracting 445 from 460 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
If we divide 150 by 89, we get 1 and a remainder of 61.
Use 1 as the next digit of our solution. 
Result so far: 10613.8651
The remainder is 61 after subtracting 89 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 11:
89 goes into 610 6 times with a remainder of 76.
Record the quotient 6 as the next digit in the result. 
Result so far: 10613.86516
Subtract 534 from 610 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 12:
If we divide 760 by 89, we get 8 and a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 10613.865168
Deduct 712 from 760 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 13:
If we divide 480 by 89, we get 5 and a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 10613.8651685
If we subtract 445 from 480, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 14:
89 can be fit into 350 3 times, resulting in a remainder of 83.
Use 3 as the next digit of our solution. 
Result so far: 10613.86516853
If we take 267 away from 350, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

The final result is 10613.86516853 with a remainder of 8.3e-08.