6098134 ÷ 510 
Let's see how many times 510 fits into 6098134.

Step 1:
The number 510 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 510

Let's proceed to step 2:
When dividing 60 by 510, we get 0 with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 60 leaves us with 60.
Bring next digit (9) of the dividend behind the 60 and repeat the process: 609 / 510

Step 3:
The number 510 fits into 609 1 times, leaving a remainder of 99.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 510 from 609 and we're left with 99.
Append the next digit (8) from the dividend to 99 and continue with: 998 / 510

Let's proceed to step 4:
510 goes into 998 1 times with a remainder of 488.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 510 from 998, we get 488.
Append the next digit (1) from the dividend to 488 and continue with: 4881 / 510

On to step 5:
510 goes into 4881 9 times with a remainder of 291.
Use 9 as the next digit of our solution. 
Result so far: 119.0
If we take 4590 away from 4881, we end up with 291.
Include the next digit (3) from the dividend after 291, then repeat: 2913 / 510

Advancing to step 6:
510 goes into 2913 5 times with a remainder of 363.
Record the quotient 5 as the next digit in the result. 
Result so far: 1195.0
If we take 2550 away from 2913, we end up with 363.
Fetch the next digit (4) from the dividend, attach it to 363 and continue: 3634 / 510

Moving on to step 7:
The number 510 fits into 3634 7 times, leaving a remainder of 64.
Put 7 as the next digit of the answer. 
Result so far: 11957.0
Subtracting 3570 from 3634 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 8:
510 goes into 640 1 times with a remainder of 130.
Record the quotient 1 as the next digit in the result. 
Result so far: 11957.1
Subtracting 510 from 640 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Moving on to step 9:
The number 510 fits into 1300 2 times, leaving a remainder of 280.
Put 2 as the next digit of the answer. 
Result so far: 11957.12
Subtract 1020 from 1300 to get 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

On to step 10:
The number 510 fits into 2800 5 times, leaving a remainder of 250.
The number 5 becomes the next digit in our result. 
Result so far: 11957.125
Deduct 2550 from 2800 and we're left with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Step 11:
When dividing 2500 by 510, we get 4 with a remainder of 460.
Use 4 as the next digit of our solution. 
Result so far: 11957.1254
The remainder is 460 after subtracting 2040 from 2500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Step 12:
When dividing 4600 by 510, we get 9 with a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 11957.12549
Deduct 4590 from 4600 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.

On to step 13:
100 divided by 510 is 0 with a remainder of 100.
Use 0 as the next digit of our solution. 
Result so far: 11957.12549
Subtract 0 from 100 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.

Step 14:
510 can be fit into 1000 1 times, resulting in a remainder of 490.
Write down 1 as next digit of the result. 
Result so far: 11957.1254901
Subtracting 510 from 1000 leaves us with 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

Moving on to step 15:
510 can be fit into 4900 9 times, resulting in a remainder of 310.
Put 9 as the next digit of the answer. 
Result so far: 11957.12549019
Subtract 4590 from 4900 to get 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

In conclusion, the division gives 11957.12549019 with a balance of 3.1e-07.