We're dividing 964141 by 90 
We want to divide 964141 by 90.

Going ahead to step 1:
If we divide 9 by 90, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 90

Let's proceed to step 2:
96 divided by 90 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 90 from 96 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 90

On to step 3:
90 goes into 64 0 times with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 64 after subtracting 0 from 64.
Append the next digit (1) from the dividend to 64 and continue with: 641 / 90

Moving on to step 4:
The number 90 fits into 641 7 times, leaving a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 107.0
If we take 630 away from 641, we end up with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 90

Let's proceed to step 5:
The number 90 fits into 114 1 times, leaving a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 1071.0
Subtract 90 from 114 to get 24.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 90

On to step 6:
90 can be fit into 241 2 times, resulting in a remainder of 61.
The next digit of our result is 2. 
Result so far: 10712.0
The remainder is 61 after subtracting 180 from 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 7:
If we divide 610 by 90, we get 6 and a remainder of 70.
Write down 6 as next digit of the result. 
Result so far: 10712.6
Deduct 540 from 610 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 8:
The number 90 fits into 700 7 times, leaving a remainder of 70.
The next digit of our result is 7. 
Result so far: 10712.67
If we take 630 away from 700, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 9:
The number 90 fits into 700 7 times, leaving a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 10712.677
Subtracting 630 from 700 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 10712.677, and the remainder is 0.007.