106573 ÷ 90 
Our goal is to divide 106573 by 90.

On to step 1:
If we divide 1 by 90, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 90

Step 2:
The number 90 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 90

On to step 3:
When dividing 106 by 90, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 90 from 106 leaves us with 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 90

On to step 4:
If we divide 165 by 90, we get 1 and a remainder of 75.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 75 after subtracting 90 from 165.
Take the next digit (7) from the dividend and append it to 75, then repeat: 757 / 90

Advancing to step 5:
757 divided by 90 is 8 with a remainder of 37.
Write down 8 as next digit of the result. 
Result so far: 118.0
If we take 720 away from 757, we end up with 37.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 90

Step 6:
90 goes into 373 4 times with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 1184.0
Deduct 360 from 373 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
The number 90 fits into 130 1 times, leaving a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 1184.1
The remainder is 40 after subtracting 90 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
90 goes into 400 4 times with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 1184.14
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
The number 90 fits into 400 4 times, leaving a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 1184.144
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 1184.144 and a remainder of 0.004.