66138578 ÷ 606 
Our goal is to divide 66138578 by 606.

Moving on to step 1:
606 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 606

Let's proceed to step 2:
606 can be fit into 66 0 times, resulting in a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Take the next digit (1) from the dividend and append it to 66, then repeat: 661 / 606

Step 3:
606 goes into 661 1 times with a remainder of 55.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 606 from 661 and we're left with 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 606

Let's proceed to step 4:
606 goes into 553 0 times with a remainder of 553.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 553, we get 553.
Include the next digit (8) from the dividend after 553, then repeat: 5538 / 606

On to step 5:
If we divide 5538 by 606, we get 9 and a remainder of 84.
The next digit of our result is 9. 
Result so far: 109.0
Subtracting 5454 from 5538 leaves us with 84.
Append the next digit (5) from the dividend to 84 and continue with: 845 / 606

Step 6:
845 divided by 606 is 1 with a remainder of 239.
Put 1 as the next digit of the answer. 
Result so far: 1091.0
Subtract 606 from 845 to get 239.
Take the next digit (7) from the dividend and append it to 239, then repeat: 2397 / 606

On to step 7:
When dividing 2397 by 606, we get 3 with a remainder of 579.
Write down 3 as next digit of the result. 
Result so far: 10913.0
The remainder is 579 after subtracting 1818 from 2397.
Include the next digit (8) from the dividend after 579, then repeat: 5798 / 606

Step 8:
606 can be fit into 5798 9 times, resulting in a remainder of 344.
The next digit of our result is 9. 
Result so far: 109139.0
If we take 5454 away from 5798, we end up with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

Let's proceed to step 9:
When dividing 3440 by 606, we get 5 with a remainder of 410.
Write down 5 as next digit of the result. 
Result so far: 109139.5
Deduct 3030 from 3440 and we're left with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Advancing to step 10:
606 goes into 4100 6 times with a remainder of 464.
Put 6 as the next digit of the answer. 
Result so far: 109139.56
Subtracting 3636 from 4100 leaves us with 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Step 11:
If we divide 4640 by 606, we get 7 and a remainder of 398.
Put 7 as the next digit of the answer. 
Result so far: 109139.567
If we take 4242 away from 4640, we end up with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Moving on to step 12:
606 can be fit into 3980 6 times, resulting in a remainder of 344.
Put 6 as the next digit of the answer. 
Result so far: 109139.5676
Subtracting 3636 from 3980 leaves us with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

Moving on to step 13:
If we divide 3440 by 606, we get 5 and a remainder of 410.
The number 5 becomes the next digit in our result. 
Result so far: 109139.56765
Subtract 3030 from 3440 to get 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Going ahead to step 14:
606 goes into 4100 6 times with a remainder of 464.
Use 6 as the next digit of our solution. 
Result so far: 109139.567656
Subtract 3636 from 4100 to get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Going ahead to step 15:
606 can be fit into 4640 7 times, resulting in a remainder of 398.
Record the quotient 7 as the next digit in the result. 
Result so far: 109139.5676567
Deduct 4242 from 4640 and we're left with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Moving on to step 16:
When dividing 3980 by 606, we get 6 with a remainder of 344.
The number 6 becomes the next digit in our result. 
Result so far: 109139.56765676
If we take 3636 away from 3980, we end up with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

The quotient of the division is 109139.56765676, and the remainder is 3.44e-07.