We divide 946958 by 89
We want to divide 946958 by 89.

Let's proceed to step 1:
When dividing 9 by 89, we get 0 with 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.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 89

Step 2:
94 divided by 89 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 89 from 94 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 89

Moving on to step 3:
89 can be fit into 56 0 times, resulting in a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 56 to get 56.
Bring next digit (9) of the dividend behind the 56 and repeat the process: 569 / 89

Going ahead to step 4:
When dividing 569 by 89, we get 6 with a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 106.0
If we subtract 534 from 569, we get 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 89

On to step 5:
When dividing 355 by 89, we get 3 with a remainder of 88.
Record the quotient 3 as the next digit in the result. 
Result so far: 1063.0
Subtract 267 from 355 to get 88.
Include the next digit (8) from the dividend after 88, then repeat: 888 / 89

Advancing to step 6:
888 divided by 89 is 9 with a remainder of 87.
The number 9 becomes the next digit in our result. 
Result so far: 10639.0
The remainder is 87 after subtracting 801 from 888.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Advancing to step 7:
89 can be fit into 870 9 times, resulting in a remainder of 69.
Use 9 as the next digit of our solution. 
Result so far: 10639.9
The remainder is 69 after subtracting 801 from 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 8:
89 can be fit into 690 7 times, resulting in a remainder of 67.
Write down 7 as next digit of the result. 
Result so far: 10639.97
If we subtract 623 from 690, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 9:
89 can be fit into 670 7 times, resulting in a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 10639.977
The remainder is 47 after subtracting 623 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

After the division, we end up with 10639.977 and a remainder of 0.0047.