34480908 ÷ 586 
We're looking to find how many times 586 goes into 34480908.

Moving on to step 1:
When dividing 3 by 586, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 586

Let's proceed to step 2:
If we divide 34 by 586, we get 0 and a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Include the next digit (4) from the dividend after 34, then repeat: 344 / 586

Let's proceed to step 3:
586 can be fit into 344 0 times, resulting in a remainder of 344.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 344 and we're left with 344.
Bring next digit (8) of the dividend behind the 344 and repeat the process: 3448 / 586

Let's proceed to step 4:
586 goes into 3448 5 times with a remainder of 518.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 2930 from 3448, we get 518.
Take the next digit (0) from the dividend and append it to 518, then repeat: 5180 / 586

Moving on to step 5:
586 can be fit into 5180 8 times, resulting in a remainder of 492.
The next digit of our result is 8. 
Result so far: 58.0
Subtracting 4688 from 5180 leaves us with 492.
Take the next digit (9) from the dividend and append it to 492, then repeat: 4929 / 586

Moving on to step 6:
586 goes into 4929 8 times with a remainder of 241.
Write down 8 as next digit of the result. 
Result so far: 588.0
The remainder is 241 after subtracting 4688 from 4929.
Append the next digit (0) from the dividend to 241 and continue with: 2410 / 586

Moving on to step 7:
If we divide 2410 by 586, we get 4 and a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 5884.0
The remainder is 66 after subtracting 2344 from 2410.
Append the next digit (8) from the dividend to 66 and continue with: 668 / 586

Let's proceed to step 8:
When dividing 668 by 586, we get 1 with a remainder of 82.
Use 1 as the next digit of our solution. 
Result so far: 58841.0
The remainder is 82 after subtracting 586 from 668.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 9:
586 goes into 820 1 times with a remainder of 234.
The number 1 becomes the next digit in our result. 
Result so far: 58841.1
If we subtract 586 from 820, we get 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

Advancing to step 10:
586 goes into 2340 3 times with a remainder of 582.
Use 3 as the next digit of our solution. 
Result so far: 58841.13
Deduct 1758 from 2340 and we're left with 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

Let's proceed to step 11:
586 goes into 5820 9 times with a remainder of 546.
The next digit of our result is 9. 
Result so far: 58841.139
If we subtract 5274 from 5820, we get 546.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5460, and continue the process.

Going ahead to step 12:
The number 586 fits into 5460 9 times, leaving a remainder of 186.
Record the quotient 9 as the next digit in the result. 
Result so far: 58841.1399
Subtract 5274 from 5460 to get 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

The quotient of the division is 58841.1399, and the remainder is 0.00186.