We're dividing 969901 by 90 
Our goal is to divide 969901 by 90.

Step 1:
90 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 90

Moving on to step 2:
If we divide 96 by 90, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 90 from 96 and we're left with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 90

Advancing to step 3:
When dividing 69 by 90, we get 0 with a remainder of 69.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 69 to get 69.
Fetch the next digit (9) from the dividend, attach it to 69 and continue: 699 / 90

Step 4:
When dividing 699 by 90, we get 7 with a remainder of 69.
Use 7 as the next digit of our solution. 
Result so far: 107.0
The remainder is 69 after subtracting 630 from 699.
Fetch the next digit (0) from the dividend, attach it to 69 and continue: 690 / 90

Going ahead to step 5:
If we divide 690 by 90, we get 7 and a remainder of 60.
Record the quotient 7 as the next digit in the result. 
Result so far: 1077.0
If we subtract 630 from 690, we get 60.
Include the next digit (1) from the dividend after 60, then repeat: 601 / 90

Let's proceed to step 6:
90 goes into 601 6 times with a remainder of 61.
Use 6 as the next digit of our solution. 
Result so far: 10776.0
Subtracting 540 from 601 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 7:
When dividing 610 by 90, we get 6 with a remainder of 70.
Write down 6 as next digit of the result. 
Result so far: 10776.6
The remainder is 70 after subtracting 540 from 610.
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 8:
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: 10776.67
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.

Moving on to step 9:
The number 90 fits into 700 7 times, leaving a remainder of 70.
The next digit of our result is 7. 
Result so far: 10776.677
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 10776.677, and the remainder is 0.007.