We're dividing 34303559 by 606 
We want to divide 34303559 by 606.

Let's proceed to step 1:
606 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 606

Step 2:
If we divide 34 by 606, we get 0 and a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Grab the next digit (3) from the dividend, add it to 34, then carry on: 343 / 606

Advancing to step 3:
The number 606 fits into 343 0 times, leaving a remainder of 343.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 343 and we're left with 343.
Fetch the next digit (0) from the dividend, attach it to 343 and continue: 3430 / 606

Step 4:
3430 divided by 606 is 5 with a remainder of 400.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 3030 from 3430 leaves us with 400.
Fetch the next digit (3) from the dividend, attach it to 400 and continue: 4003 / 606

Step 5:
If we divide 4003 by 606, we get 6 and a remainder of 367.
Write down 6 as next digit of the result. 
Result so far: 56.0
The remainder is 367 after subtracting 3636 from 4003.
Grab the next digit (5) from the dividend, add it to 367, then carry on: 3675 / 606

Let's proceed to step 6:
If we divide 3675 by 606, we get 6 and a remainder of 39.
Use 6 as the next digit of our solution. 
Result so far: 566.0
Subtract 3636 from 3675 to get 39.
Fetch the next digit (5) from the dividend, attach it to 39 and continue: 395 / 606

Going ahead to step 7:
When dividing 395 by 606, we get 0 with a remainder of 395.
The number 0 becomes the next digit in our result. 
Result so far: 5660.0
Subtracting 0 from 395 leaves us with 395.
Grab the next digit (9) from the dividend, add it to 395, then carry on: 3959 / 606

Moving on to step 8:
The number 606 fits into 3959 6 times, leaving a remainder of 323.
Record the quotient 6 as the next digit in the result. 
Result so far: 56606.0
Subtract 3636 from 3959 to get 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Moving on to step 9:
606 goes into 3230 5 times with a remainder of 200.
The number 5 becomes the next digit in our result. 
Result so far: 56606.5
Deduct 3030 from 3230 and we're left with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Advancing to step 10:
When dividing 2000 by 606, we get 3 with a remainder of 182.
The number 3 becomes the next digit in our result. 
Result so far: 56606.53
Subtract 1818 from 2000 to get 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Let's proceed to step 11:
606 can be fit into 1820 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 56606.533
The remainder is 2 after subtracting 1818 from 1820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 56606.533, and the remainder is 0.0002.