We're dividing 958645 by 9 
Let's see how many times 9 fits into 958645.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 9 from 9, we get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 9

Going ahead to step 2:
9 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 9

Moving on to step 3:
The number 9 fits into 58 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 106.0
Deduct 54 from 58 and we're left with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 9

Going ahead to step 4:
9 goes into 46 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 1065.0
If we subtract 45 from 46, we get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 9

Advancing to step 5:
9 can be fit into 14 1 times, resulting in a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 10651.0
If we take 9 away from 14, we end up with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 9

Moving on to step 6:
The number 9 fits into 55 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 106516.0
If we take 54 away from 55, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
When dividing 10 by 9, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 106516.1
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
The number 9 fits into 10 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 106516.11
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 106516.11, and the remainder is 0.001.