We're dividing 34081579 by 300 
Our goal is to divide 34081579 by 300.

Going ahead to step 1:
The number 300 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 300

On to step 2:
If we divide 34 by 300, we get 0 and a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Fetch the next digit (0) from the dividend, attach it to 34 and continue: 340 / 300

Going ahead to step 3:
300 can be fit into 340 1 times, resulting in a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 300 from 340, we get 40.
Fetch the next digit (8) from the dividend, attach it to 40 and continue: 408 / 300

Step 4:
The number 300 fits into 408 1 times, leaving a remainder of 108.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 300 away from 408, we end up with 108.
Grab the next digit (1) from the dividend, add it to 108, then carry on: 1081 / 300

Advancing to step 5:
The number 300 fits into 1081 3 times, leaving a remainder of 181.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
If we take 900 away from 1081, we end up with 181.
Take the next digit (5) from the dividend and append it to 181, then repeat: 1815 / 300

Advancing to step 6:
If we divide 1815 by 300, we get 6 and a remainder of 15.
Record the quotient 6 as the next digit in the result. 
Result so far: 1136.0
Deduct 1800 from 1815 and we're left with 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 300

Going ahead to step 7:
The number 300 fits into 157 0 times, leaving a remainder of 157.
The number 0 becomes the next digit in our result. 
Result so far: 11360.0
If we take 0 away from 157, we end up with 157.
Append the next digit (9) from the dividend to 157 and continue with: 1579 / 300

Going ahead to step 8:
If we divide 1579 by 300, we get 5 and a remainder of 79.
Use 5 as the next digit of our solution. 
Result so far: 113605.0
If we subtract 1500 from 1579, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 9:
300 can be fit into 790 2 times, resulting in a remainder of 190.
Put 2 as the next digit of the answer. 
Result so far: 113605.2
Subtract 600 from 790 to get 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Moving on to step 10:
1900 divided by 300 is 6 with a remainder of 100.
Put 6 as the next digit of the answer. 
Result so far: 113605.26
Subtracting 1800 from 1900 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 11:
The number 300 fits into 1000 3 times, leaving a remainder of 100.
Write down 3 as next digit of the result. 
Result so far: 113605.263
The remainder is 100 after subtracting 900 from 1000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Moving on to step 12:
300 can be fit into 1000 3 times, resulting in a remainder of 100.
Record the quotient 3 as the next digit in the result. 
Result so far: 113605.2633
Subtract 900 from 1000 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The quotient of the division is 113605.2633, and the remainder is 0.001.