5802195 ÷ 509 
We want to figure out the number of times 5802195 can be divided by 509.

On to step 1:
The number 509 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 509

On to step 2:
The number 509 fits into 58 0 times, leaving a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Grab the next digit (0) from the dividend, add it to 58, then carry on: 580 / 509

Advancing to step 3:
The number 509 fits into 580 1 times, leaving a remainder of 71.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 71 after subtracting 509 from 580.
Bring next digit (2) of the dividend behind the 71 and repeat the process: 712 / 509

Step 4:
The number 509 fits into 712 1 times, leaving a remainder of 203.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 509 from 712, we get 203.
Include the next digit (1) from the dividend after 203, then repeat: 2031 / 509

Advancing to step 5:
2031 divided by 509 is 3 with a remainder of 504.
The next digit of our result is 3. 
Result so far: 113.0
Deduct 1527 from 2031 and we're left with 504.
Fetch the next digit (9) from the dividend, attach it to 504 and continue: 5049 / 509

Moving on to step 6:
When dividing 5049 by 509, we get 9 with a remainder of 468.
The next digit of our result is 9. 
Result so far: 1139.0
The remainder is 468 after subtracting 4581 from 5049.
Grab the next digit (5) from the dividend, add it to 468, then carry on: 4685 / 509

Going ahead to step 7:
509 can be fit into 4685 9 times, resulting in a remainder of 104.
Write down 9 as next digit of the result. 
Result so far: 11399.0
Subtract 4581 from 4685 to get 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Step 8:
When dividing 1040 by 509, we get 2 with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 11399.2
Subtracting 1018 from 1040 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
509 can be fit into 220 0 times, resulting in a remainder of 220.
Record the quotient 0 as the next digit in the result. 
Result so far: 11399.2
Subtracting 0 from 220 leaves us with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Going ahead to step 10:
509 goes into 2200 4 times with a remainder of 164.
Use 4 as the next digit of our solution. 
Result so far: 11399.204
Subtracting 2036 from 2200 leaves us with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Let's proceed to step 11:
509 can be fit into 1640 3 times, resulting in a remainder of 113.
The number 3 becomes the next digit in our result. 
Result so far: 11399.2043
Subtract 1527 from 1640 to get 113.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1130, and continue the process.

On to step 12:
509 goes into 1130 2 times with a remainder of 112.
The number 2 becomes the next digit in our result. 
Result so far: 11399.20432
The remainder is 112 after subtracting 1018 from 1130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Let's proceed to step 13:
If we divide 1120 by 509, we get 2 and a remainder of 102.
Put 2 as the next digit of the answer. 
Result so far: 11399.204322
Subtract 1018 from 1120 to get 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

The final outcome is 11399.204322, with a leftover of 1.02e-05.