Let's divide 101223 by 59
We want to figure out the number of times 101223 can be divided by 59.

Going ahead to step 1:
When dividing 1 by 59, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 59

Let's proceed to step 2:
59 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 59

On to step 3:
The number 59 fits into 101 1 times, leaving a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 59 from 101, we get 42.
Grab the next digit (2) from the dividend, add it to 42, then carry on: 422 / 59

On to step 4:
59 goes into 422 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we take 413 away from 422, we end up with 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 59

Advancing to step 5:
If we divide 92 by 59, we get 1 and a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 171.0
If we take 59 away from 92, we end up with 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 59

On to step 6:
59 can be fit into 333 5 times, resulting in a remainder of 38.
Write down 5 as next digit of the result. 
Result so far: 1715.0
The remainder is 38 after subtracting 295 from 333.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
380 divided by 59 is 6 with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 1715.6
Subtract 354 from 380 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
59 can be fit into 260 4 times, resulting in a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 1715.64
Subtract 236 from 260 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
240 divided by 59 is 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 1715.644
Subtracting 236 from 240 leaves us 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.

In conclusion, the division gives 1715.644 with a balance of 0.0004.