107301 ÷ 66 
We want to divide 107301 by 66.

Moving on to step 1:
66 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 66

Moving on to step 2:
10 divided by 66 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 66

Let's proceed to step 3:
66 can be fit into 107 1 times, resulting in a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 66 from 107 leaves us with 41.
Fetch the next digit (3) from the dividend, attach it to 41 and continue: 413 / 66

Going ahead to step 4:
When dividing 413 by 66, we get 6 with a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 16.0
The remainder is 17 after subtracting 396 from 413.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 66

Advancing to step 5:
If we divide 170 by 66, we get 2 and a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 162.0
Subtracting 132 from 170 leaves us with 38.
Fetch the next digit (1) from the dividend, attach it to 38 and continue: 381 / 66

Let's proceed to step 6:
When dividing 381 by 66, we get 5 with a remainder of 51.
The number 5 becomes the next digit in our result. 
Result so far: 1625.0
Deduct 330 from 381 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 7:
510 divided by 66 is 7 with a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 1625.7
The remainder is 48 after subtracting 462 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
66 goes into 480 7 times with a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 1625.77
Subtract 462 from 480 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 1625.77 with a balance of 0.018.