961350 ÷ 90 
Our goal is to divide 961350 by 90.

Advancing to step 1:
90 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 90

Advancing to step 2:
If we divide 96 by 90, we get 1 and a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 90 from 96 leaves us with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 90

Going ahead to step 3:
90 goes into 61 0 times with a remainder of 61.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 61, we end up with 61.
Append the next digit (3) from the dividend to 61 and continue with: 613 / 90

Advancing to step 4:
613 divided by 90 is 6 with a remainder of 73.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Subtracting 540 from 613 leaves us with 73.
Bring next digit (5) of the dividend behind the 73 and repeat the process: 735 / 90

Step 5:
735 divided by 90 is 8 with a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 1068.0
If we take 720 away from 735, we end up with 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 90

Let's proceed to step 6:
If we divide 150 by 90, we get 1 and a remainder of 60.
The next digit of our result is 1. 
Result so far: 10681.0
If we subtract 90 from 150, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 7:
600 divided by 90 is 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 10681.6
Deduct 540 from 600 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
If we divide 600 by 90, we get 6 and a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 10681.66
Subtracting 540 from 600 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final outcome is 10681.66, with a leftover of 0.06.