We're dividing 361069 by 90 
We want to divide 361069 by 90.

Going ahead to step 1:
90 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 90

On to step 2:
The number 90 fits into 36 0 times, leaving a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 36, we get 36.
Bring next digit (1) of the dividend behind the 36 and repeat the process: 361 / 90

Advancing to step 3:
When dividing 361 by 90, we get 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 4.0
If we take 360 away from 361, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 90

Advancing to step 4:
If we divide 10 by 90, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 40.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 90

Moving on to step 5:
When dividing 106 by 90, we get 1 with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 401.0
If we subtract 90 from 106, we get 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 90

Moving on to step 6:
When dividing 169 by 90, we get 1 with a remainder of 79.
The next digit of our result is 1. 
Result so far: 4011.0
The remainder is 79 after subtracting 90 from 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 7:
If we divide 790 by 90, we get 8 and a remainder of 70.
The next digit of our result is 8. 
Result so far: 4011.8
The remainder is 70 after subtracting 720 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
When dividing 700 by 90, we get 7 with a remainder of 70.
The number 7 becomes the next digit in our result. 
Result so far: 4011.87
The remainder is 70 after subtracting 630 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 9:
90 can be fit into 700 7 times, resulting in a remainder of 70.
The number 7 becomes the next digit in our result. 
Result so far: 4011.877
Subtract 630 from 700 to get 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 4011.877, and the remainder is 0.007.