6675643 divided by 510 
We want to figure out the number of times 6675643 can be divided by 510.

Advancing to 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
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 510

Let's proceed to step 2:
66 divided by 510 is 0 with a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 66 after subtracting 0 from 66.
Fetch the next digit (7) from the dividend, attach it to 66 and continue: 667 / 510

Step 3:
If we divide 667 by 510, we get 1 and a remainder of 157.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 510 from 667, we get 157.
Take the next digit (5) from the dividend and append it to 157, then repeat: 1575 / 510

Moving on to step 4:
510 goes into 1575 3 times with a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtracting 1530 from 1575 leaves us with 45.
Bring next digit (6) of the dividend behind the 45 and repeat the process: 456 / 510

Advancing to step 5:
If we divide 456 by 510, we get 0 and a remainder of 456.
Put 0 as the next digit of the answer. 
Result so far: 130.0
Subtract 0 from 456 to get 456.
Fetch the next digit (4) from the dividend, attach it to 456 and continue: 4564 / 510

Moving on to step 6:
When dividing 4564 by 510, we get 8 with a remainder of 484.
Record the quotient 8 as the next digit in the result. 
Result so far: 1308.0
Subtracting 4080 from 4564 leaves us with 484.
Include the next digit (3) from the dividend after 484, then repeat: 4843 / 510

Moving on to step 7:
510 goes into 4843 9 times with a remainder of 253.
Record the quotient 9 as the next digit in the result. 
Result so far: 13089.0
Subtract 4590 from 4843 to get 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Step 8:
510 goes into 2530 4 times with a remainder of 490.
The number 4 becomes the next digit in our result. 
Result so far: 13089.4
If we subtract 2040 from 2530, we get 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

On to step 9:
510 goes into 4900 9 times with a remainder of 310.
The next digit of our result is 9. 
Result so far: 13089.49
The remainder is 310 after subtracting 4590 from 4900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Moving on to step 10:
The number 510 fits into 3100 6 times, leaving a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 13089.496
The remainder is 40 after subtracting 3060 from 3100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
510 goes into 400 0 times with a remainder of 400.
Use 0 as the next digit of our solution. 
Result so far: 13089.496
If we subtract 0 from 400, we get 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Going ahead to step 12:
If we divide 4000 by 510, we get 7 and a remainder of 430.
Record the quotient 7 as the next digit in the result. 
Result so far: 13089.49607
Subtracting 3570 from 4000 leaves us with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Moving on to step 13:
4300 divided by 510 is 8 with a remainder of 220.
The next digit of our result is 8. 
Result so far: 13089.496078
If we subtract 4080 from 4300, we get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Moving on to step 14:
The number 510 fits into 2200 4 times, leaving a remainder of 160.
Record the quotient 4 as the next digit in the result. 
Result so far: 13089.4960784
Deduct 2040 from 2200 and we're left with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Moving on to step 15:
510 can be fit into 1600 3 times, resulting in a remainder of 70.
The next digit of our result is 3. 
Result so far: 13089.49607843
If we subtract 1530 from 1600, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

After the division, we end up with 13089.49607843 and a remainder of 7e-08.