Let's divide 103557 by 66
We're looking to find how many times 66 goes into 103557.

Going ahead to step 1:
1 divided by 66 is 0 with 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.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 66

Let's proceed to step 2:
When dividing 10 by 66, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 66

On to step 3:
103 divided by 66 is 1 with a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 66 from 103, we get 37.
Grab the next digit (5) from the dividend, add it to 37, then carry on: 375 / 66

Step 4:
If we divide 375 by 66, we get 5 and a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 330 from 375, we get 45.
Append the next digit (5) from the dividend to 45 and continue with: 455 / 66

Step 5:
If we divide 455 by 66, we get 6 and a remainder of 59.
Use 6 as the next digit of our solution. 
Result so far: 156.0
If we take 396 away from 455, we end up with 59.
Append the next digit (7) from the dividend to 59 and continue with: 597 / 66

Advancing to step 6:
The number 66 fits into 597 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 1569.0
Deduct 594 from 597 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
66 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 1569.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
66 goes into 300 4 times with a remainder of 36.
The next digit of our result is 4. 
Result so far: 1569.04
If we take 264 away from 300, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
When dividing 360 by 66, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 1569.045
The remainder is 30 after subtracting 330 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
300 divided by 66 is 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 1569.0454
Deduct 264 from 300 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 11:
360 divided by 66 is 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 1569.04545
If we subtract 330 from 360, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
If we divide 300 by 66, we get 4 and a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 1569.045454
If we take 264 away from 300, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 13:
When dividing 360 by 66, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 1569.0454545
The remainder is 30 after subtracting 330 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
When dividing 300 by 66, we get 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 1569.04545454
The remainder is 36 after subtracting 264 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 1569.04545454, and the remainder is 3.6e-08.