103905 divided by 66 
We're looking to find how many times 66 goes into 103905.

Going ahead to step 1:
1 divided by 66 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 66

Step 2:
10 divided by 66 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 66

On to step 3:
When dividing 103 by 66, we get 1 with a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 66 away from 103, we end up with 37.
Fetch the next digit (9) from the dividend, attach it to 37 and continue: 379 / 66

Going ahead to step 4:
379 divided by 66 is 5 with a remainder of 49.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 330 from 379, we get 49.
Take the next digit (0) from the dividend and append it to 49, then repeat: 490 / 66

Let's proceed to step 5:
If we divide 490 by 66, we get 7 and a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.0
If we subtract 462 from 490, we get 28.
Bring next digit (5) of the dividend behind the 28 and repeat the process: 285 / 66

Let's proceed to step 6:
When dividing 285 by 66, we get 4 with a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 1574.0
Subtracting 264 from 285 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
210 divided by 66 is 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 1574.3
Subtracting 198 from 210 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
66 goes into 120 1 times with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 1574.31
Deduct 66 from 120 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 9:
66 goes into 540 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1574.318
Subtract 528 from 540 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
When dividing 120 by 66, we get 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 1574.3181
The remainder is 54 after subtracting 66 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 11:
66 can be fit into 540 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 1574.31818
Deduct 528 from 540 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
When dividing 120 by 66, we get 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 1574.318181
If we take 66 away from 120, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 13:
The number 66 fits into 540 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1574.3181818
Deduct 528 from 540 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 14:
120 divided by 66 is 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 1574.31818181
Subtract 66 from 120 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Our division results in 1574.31818181 with a remaining 5.4e-08.