We divide 105086 by 72
We want to figure out the number of times 105086 can be divided by 72.

Step 1:
If we divide 1 by 72, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 72

Let's proceed to step 2:
When dividing 10 by 72, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 72

Step 3:
72 can be fit into 105 1 times, resulting in a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 72 from 105 and we're left with 33.
Bring next digit (0) of the dividend behind the 33 and repeat the process: 330 / 72

Advancing to step 4:
330 divided by 72 is 4 with a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 288 from 330 and we're left with 42.
Fetch the next digit (8) from the dividend, attach it to 42 and continue: 428 / 72

Moving on to step 5:
If we divide 428 by 72, we get 5 and a remainder of 68.
Put 5 as the next digit of the answer. 
Result so far: 145.0
Subtracting 360 from 428 leaves us with 68.
Take the next digit (6) from the dividend and append it to 68, then repeat: 686 / 72

Moving on to step 6:
The number 72 fits into 686 9 times, leaving a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 1459.0
Subtracting 648 from 686 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
If we divide 380 by 72, we get 5 and a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 1459.5
If we take 360 away from 380, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 72, we get 2 and a remainder of 56.
The number 2 becomes the next digit in our result. 
Result so far: 1459.52
Subtract 144 from 200 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 9:
If we divide 560 by 72, we get 7 and a remainder of 56.
Use 7 as the next digit of our solution. 
Result so far: 1459.527
If we take 504 away from 560, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 10:
72 goes into 560 7 times with a remainder of 56.
Record the quotient 7 as the next digit in the result. 
Result so far: 1459.5277
If we take 504 away from 560, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The quotient of the division is 1459.5277, and the remainder is 0.00056.