We're dividing 106624 by 66 
Our goal is to divide 106624 by 66.

Advancing to step 1:
If we divide 1 by 66, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
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

On to step 2:
The number 66 fits into 10 0 times, leaving 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.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 66

Advancing to step 3:
If we divide 106 by 66, we get 1 and a remainder of 40.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 66 from 106, we get 40.
Fetch the next digit (6) from the dividend, attach it to 40 and continue: 406 / 66

Let's proceed to step 4:
66 goes into 406 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 396 away from 406, we end up with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 66

Step 5:
66 goes into 102 1 times with a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 161.0
If we subtract 66 from 102, we get 36.
Fetch the next digit (4) from the dividend, attach it to 36 and continue: 364 / 66

Step 6:
If we divide 364 by 66, we get 5 and a remainder of 34.
Record the quotient 5 as the next digit in the result. 
Result so far: 1615.0
If we subtract 330 from 364, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
If we divide 340 by 66, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 1615.5
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
66 can be fit into 100 1 times, resulting in a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 1615.51
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
If we divide 340 by 66, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 1615.515
Deduct 330 from 340 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
66 goes into 100 1 times with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 1615.5151
If we subtract 66 from 100, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
66 goes into 340 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 1615.51515
If we subtract 330 from 340, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
100 divided by 66 is 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 1615.515151
If we subtract 66 from 100, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 13:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 1615.5151515
If we subtract 330 from 340, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
If we divide 100 by 66, we get 1 and a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 1615.51515151
If we subtract 66 from 100, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Our division results in 1615.51515151 with a remaining 3.4e-08.