510598 ÷ 38 
We want to divide 510598 by 38.

Let's proceed to step 1:
When dividing 5 by 38, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 38

Advancing to step 2:
38 can be fit into 51 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 38 from 51 and we're left with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 38

Advancing to step 3:
If we divide 130 by 38, we get 3 and a remainder of 16.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 16 after subtracting 114 from 130.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 38

Step 4:
165 divided by 38 is 4 with a remainder of 13.
The next digit of our result is 4. 
Result so far: 134.0
Deduct 152 from 165 and we're left with 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 38

Moving on to step 5:
The number 38 fits into 139 3 times, leaving a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 1343.0
The remainder is 25 after subtracting 114 from 139.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 38

Moving on to step 6:
The number 38 fits into 258 6 times, leaving a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 13436.0
If we subtract 228 from 258, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
When dividing 300 by 38, we get 7 with a remainder of 34.
The next digit of our result is 7. 
Result so far: 13436.7
If we take 266 away from 300, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
When dividing 340 by 38, we get 8 with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 13436.78
Subtract 304 from 340 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 9:
If we divide 360 by 38, we get 9 and a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 13436.789
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
180 divided by 38 is 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 13436.7894
If we take 152 away from 180, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
If we divide 280 by 38, we get 7 and a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 13436.78947
Subtracting 266 from 280 leaves us 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.

On to step 12:
When dividing 140 by 38, we get 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 13436.789473
Deduct 114 from 140 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 13:
260 divided by 38 is 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 13436.7894736
If we take 228 away from 260, we end up 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.

Step 14:
If we divide 320 by 38, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 13436.78947368
Subtract 304 from 320 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 13436.78947368 with a remaining 1.6e-08.