We divide 420031 by 90
We want to divide 420031 by 90.

Advancing to step 1:
90 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 90

On to step 2:
42 divided by 90 is 0 with a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 90

Going ahead to step 3:
90 goes into 420 4 times with a remainder of 60.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 360 away from 420, we end up with 60.
Bring next digit (0) of the dividend behind the 60 and repeat the process: 600 / 90

Step 4:
The number 90 fits into 600 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 46.0
Subtract 540 from 600 to get 60.
Take the next digit (3) from the dividend and append it to 60, then repeat: 603 / 90

Step 5:
When dividing 603 by 90, we get 6 with a remainder of 63.
The number 6 becomes the next digit in our result. 
Result so far: 466.0
The remainder is 63 after subtracting 540 from 603.
Fetch the next digit (1) from the dividend, attach it to 63 and continue: 631 / 90

Moving on to step 6:
90 can be fit into 631 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 4667.0
Subtracting 630 from 631 leaves us 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.

Advancing to step 7:
10 divided by 90 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4667.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 90, we get 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 4667.01
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
If we divide 100 by 90, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 4667.011
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 4667.011, and the remainder is 0.001.