110161 ÷ 908 
Let's see how many times 908 fits into 110161.

Going ahead to step 1:
The number 908 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 908

On to step 2:
When dividing 11 by 908, we get 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 908

Going ahead to step 3:
908 goes into 110 0 times with a remainder of 110.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 110 leaves us with 110.
Grab the next digit (1) from the dividend, add it to 110, then carry on: 1101 / 908

Let's proceed to step 4:
908 can be fit into 1101 1 times, resulting in a remainder of 193.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 908 from 1101 and we're left with 193.
Take the next digit (6) from the dividend and append it to 193, then repeat: 1936 / 908

Let's proceed to step 5:
The number 908 fits into 1936 2 times, leaving a remainder of 120.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 120 after subtracting 1816 from 1936.
Include the next digit (1) from the dividend after 120, then repeat: 1201 / 908

Let's proceed to step 6:
The number 908 fits into 1201 1 times, leaving a remainder of 293.
The next digit of our result is 1. 
Result so far: 121.0
Subtract 908 from 1201 to get 293.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

Step 7:
908 goes into 2930 3 times with a remainder of 206.
The number 3 becomes the next digit in our result. 
Result so far: 121.3
Subtract 2724 from 2930 to get 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

Let's proceed to step 8:
2060 divided by 908 is 2 with a remainder of 244.
The next digit of our result is 2. 
Result so far: 121.32
If we take 1816 away from 2060, we end up with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Moving on to step 9:
When dividing 2440 by 908, we get 2 with a remainder of 624.
The number 2 becomes the next digit in our result. 
Result so far: 121.322
The remainder is 624 after subtracting 1816 from 2440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

In conclusion, the division gives 121.322 with a balance of 0.0624.