We divide 612102 by 90
We're looking to find how many times 90 goes into 612102.

Going ahead to step 1:
If we divide 6 by 90, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 90

Moving on to step 2:
61 divided by 90 is 0 with a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 61, we get 61.
Bring next digit (2) of the dividend behind the 61 and repeat the process: 612 / 90

Let's proceed to step 3:
90 goes into 612 6 times with a remainder of 72.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 540 from 612 leaves us with 72.
Bring next digit (1) of the dividend behind the 72 and repeat the process: 721 / 90

Let's proceed to step 4:
90 can be fit into 721 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 68.0
Deduct 720 from 721 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 90

Step 5:
When dividing 10 by 90, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 680.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 90

Let's proceed to step 6:
When dividing 102 by 90, we get 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 6801.0
The remainder is 12 after subtracting 90 from 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
120 divided by 90 is 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 6801.1
The remainder is 30 after subtracting 90 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
90 can be fit into 300 3 times, resulting in a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 6801.13
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
The number 90 fits into 300 3 times, leaving a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 6801.133
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 6801.133 with a balance of 0.003.