We're dividing 436607 by 66 
We want to divide 436607 by 66.

Advancing to step 1:
66 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 66

Advancing to step 2:
If we divide 43 by 66, we get 0 and a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 66

Going ahead to step 3:
66 goes into 436 6 times with a remainder of 40.
The next digit of our result is 6. 
Result so far: 6.0
If we take 396 away from 436, we end up with 40.
Include the next digit (6) from the dividend after 40, then repeat: 406 / 66

Moving on to step 4:
66 goes into 406 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Subtracting 396 from 406 leaves us with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 66

Moving on to step 5:
66 goes into 100 1 times with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 661.0
If we subtract 66 from 100, we get 34.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 66

Step 6:
If we divide 347 by 66, we get 5 and a remainder of 17.
Record the quotient 5 as the next digit in the result. 
Result so far: 6615.0
Subtracting 330 from 347 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
The number 66 fits into 170 2 times, leaving a remainder of 38.
The next digit of our result is 2. 
Result so far: 6615.2
If we subtract 132 from 170, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
66 can be fit into 380 5 times, resulting in a remainder of 50.
The next digit of our result is 5. 
Result so far: 6615.25
If we take 330 away from 380, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
500 divided by 66 is 7 with a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 6615.257
The remainder is 38 after subtracting 462 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 10:
380 divided by 66 is 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 6615.2575
If we take 330 away from 380, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
66 can be fit into 500 7 times, resulting in a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 6615.25757
The remainder is 38 after subtracting 462 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 12:
66 can be fit into 380 5 times, resulting in a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 6615.257575
Subtract 330 from 380 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 13:
If we divide 500 by 66, we get 7 and a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 6615.2575757
If we take 462 away from 500, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 14:
When dividing 380 by 66, we get 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 6615.25757575
If we subtract 330 from 380, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 6615.25757575, with a leftover of 5e-08.