345775 ÷ 66 
Our goal is to divide 345775 by 66.

Step 1:
When dividing 3 by 66, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 66

Moving on to step 2:
If we divide 34 by 66, we get 0 and a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Include the next digit (5) from the dividend after 34, then repeat: 345 / 66

Let's proceed to step 3:
66 can be fit into 345 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 330 from 345, we get 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 66

Let's proceed to step 4:
When dividing 157 by 66, we get 2 with a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
If we subtract 132 from 157, we get 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 66

Advancing to step 5:
66 goes into 257 3 times with a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 523.0
If we take 198 away from 257, we end up with 59.
Include the next digit (5) from the dividend after 59, then repeat: 595 / 66

Advancing to step 6:
When dividing 595 by 66, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 5239.0
Deduct 594 from 595 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
When dividing 10 by 66, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5239.0
Subtracting 0 from 10 leaves us 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.

Moving on to step 8:
100 divided by 66 is 1 with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 5239.01
Subtracting 66 from 100 leaves us 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.

Going ahead to step 9:
When dividing 340 by 66, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5239.015
Subtracting 330 from 340 leaves us 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:
100 divided by 66 is 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 5239.0151
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 11:
When dividing 340 by 66, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5239.01515
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.

Let's proceed to step 12:
When dividing 100 by 66, we get 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 5239.015151
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 13:
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: 5239.0151515
Subtracting 330 from 340 leaves us 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.

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: 5239.01515151
Subtracting 66 from 100 leaves us 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.

Our division results in 5239.01515151 with a remaining 3.4e-08.