We're dividing 584519 by 34 
We want to figure out the number of times 584519 can be divided by 34.

On to step 1:
34 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 34

On to step 2:
The number 34 fits into 58 1 times, leaving a remainder of 24.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 34 from 58 and we're left with 24.
Include the next digit (4) from the dividend after 24, then repeat: 244 / 34

Going ahead to step 3:
34 can be fit into 244 7 times, resulting in a remainder of 6.
The next digit of our result is 7. 
Result so far: 17.0
Subtracting 238 from 244 leaves us with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 34

Advancing to step 4:
When dividing 65 by 34, we get 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 171.0
If we take 34 away from 65, we end up with 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 34

Moving on to step 5:
34 goes into 311 9 times with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 1719.0
Subtract 306 from 311 to get 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 34

Advancing to step 6:
If we divide 59 by 34, we get 1 and a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 17191.0
If we subtract 34 from 59, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
34 goes into 250 7 times with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 17191.7
If we subtract 238 from 250, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
If we divide 120 by 34, we get 3 and a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 17191.73
If we take 102 away from 120, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
180 divided by 34 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 17191.735
Deduct 170 from 180 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
If we divide 100 by 34, we get 2 and a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 17191.7352
Deduct 68 from 100 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
34 can be fit into 320 9 times, resulting in a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 17191.73529
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
34 can be fit into 140 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 17191.735294
If we subtract 136 from 140, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
34 goes into 40 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 17191.7352941
If we subtract 34 from 40, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
60 divided by 34 is 1 with a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 17191.73529411
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 17191.73529411 and a remainder of 2.6e-08.