We look at the division of 106990 by 3 
We want to divide 106990 by 3.

Step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

On to step 2:
10 divided by 3 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 9 from 10 leaves us with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Moving on to step 3:
3 goes into 16 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 35.0
Subtract 15 from 16 to get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Step 4:
The number 3 fits into 19 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 356.0
Deduct 18 from 19 and we're left with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 3

Moving on to step 5:
If we divide 19 by 3, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 3566.0
If we take 18 away from 19, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 3

Let's proceed to step 6:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 35663.0
Deduct 9 from 10 and we're left 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.

Step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 35663.3
Deduct 9 from 10 and we're left 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 8:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 35663.33
Subtracting 9 from 10 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.

The final result is 35663.33 with a remainder of 0.001.