We look at the division of 90061 by 11 
We're looking to find how many times 11 goes into 90061.

Let's proceed to step 1:
9 divided by 11 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 11

Moving on to step 2:
When dividing 90 by 11, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 88 from 90 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 11

On to step 3:
11 can be fit into 20 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
If we subtract 11 from 20, we get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 11

Step 4:
When dividing 96 by 11, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 818.0
The remainder is 8 after subtracting 88 from 96.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 11

Let's proceed to step 5:
When dividing 81 by 11, we get 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 8187.0
Deduct 77 from 81 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 6:
11 goes into 40 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 8187.3
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 8187.36
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 8187.363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
70 divided by 11 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 8187.3636
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
The number 11 fits into 40 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 8187.36363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
When dividing 70 by 11, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 8187.363636
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 8187.3636363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8187.36363636
Subtract 66 from 70 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 8187.36363636 and a remainder of 4e-09.