106223 divided by 75 
We want to figure out the number of times 106223 can be divided by 75.

Moving on to step 1:
The number 75 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 75

On to step 2:
75 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
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 75

Step 3:
If we divide 106 by 75, we get 1 and a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 75 from 106 and we're left with 31.
Fetch the next digit (2) from the dividend, attach it to 31 and continue: 312 / 75

Step 4:
75 goes into 312 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 12 after subtracting 300 from 312.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 75

Let's proceed to step 5:
75 can be fit into 122 1 times, resulting in a remainder of 47.
Record the quotient 1 as the next digit in the result. 
Result so far: 141.0
If we take 75 away from 122, we end up with 47.
Take the next digit (3) from the dividend and append it to 47, then repeat: 473 / 75

On to step 6:
75 can be fit into 473 6 times, resulting in a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 1416.0
Deduct 450 from 473 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
75 goes into 230 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 1416.3
Subtract 225 from 230 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
75 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 1416.3
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
500 divided by 75 is 6 with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 1416.306
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
75 goes into 500 6 times with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 1416.3066
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 1416.3066 with a balance of 0.0005.