100916 divided by 90 
We're looking to find how many times 90 goes into 100916.

Step 1:
90 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 90

On to step 2:
When dividing 10 by 90, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 90

Advancing to step 3:
When dividing 100 by 90, we get 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 10 after subtracting 90 from 100.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 90

Let's proceed to step 4:
If we divide 109 by 90, we get 1 and a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 90 from 109 and we're left with 19.
Fetch the next digit (1) from the dividend, attach it to 19 and continue: 191 / 90

Advancing to step 5:
191 divided by 90 is 2 with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 112.0
Deduct 180 from 191 and we're left with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 90

Advancing to step 6:
90 can be fit into 116 1 times, resulting in a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 1121.0
Subtracting 90 from 116 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
When dividing 260 by 90, we get 2 with a remainder of 80.
Put 2 as the next digit of the answer. 
Result so far: 1121.2
If we subtract 180 from 260, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 8:
If we divide 800 by 90, we get 8 and a remainder of 80.
Use 8 as the next digit of our solution. 
Result so far: 1121.28
Subtracting 720 from 800 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 9:
800 divided by 90 is 8 with a remainder of 80.
The next digit of our result is 8. 
Result so far: 1121.288
Deduct 720 from 800 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final result is 1121.288 with a remainder of 0.008.