75993973 ÷ 509 
Our goal is to divide 75993973 by 509.

Let's proceed to step 1:
When dividing 7 by 509, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 509

Moving on to step 2:
When dividing 75 by 509, we get 0 with a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Grab the next digit (9) from the dividend, add it to 75, then carry on: 759 / 509

On to step 3:
If we divide 759 by 509, we get 1 and a remainder of 250.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 250 after subtracting 509 from 759.
Take the next digit (9) from the dividend and append it to 250, then repeat: 2509 / 509

Moving on to step 4:
If we divide 2509 by 509, we get 4 and a remainder of 473.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 473 after subtracting 2036 from 2509.
Include the next digit (3) from the dividend after 473, then repeat: 4733 / 509

On to step 5:
When dividing 4733 by 509, we get 9 with a remainder of 152.
The next digit of our result is 9. 
Result so far: 149.0
If we take 4581 away from 4733, we end up with 152.
Append the next digit (9) from the dividend to 152 and continue with: 1529 / 509

Let's proceed to step 6:
1529 divided by 509 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 1493.0
The remainder is 2 after subtracting 1527 from 1529.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 509

Let's proceed to step 7:
When dividing 27 by 509, we get 0 with a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 14930.0
Subtract 0 from 27 to get 27.
Fetch the next digit (3) from the dividend, attach it to 27 and continue: 273 / 509

Advancing to step 8:
509 goes into 273 0 times with a remainder of 273.
The next digit of our result is 0. 
Result so far: 149300.0
If we take 0 away from 273, we end up with 273.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2730, and continue the process.

Going ahead to step 9:
The number 509 fits into 2730 5 times, leaving a remainder of 185.
Use 5 as the next digit of our solution. 
Result so far: 149300.5
Subtract 2545 from 2730 to get 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

On to step 10:
1850 divided by 509 is 3 with a remainder of 323.
Record the quotient 3 as the next digit in the result. 
Result so far: 149300.53
Deduct 1527 from 1850 and we're left with 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

Going ahead to step 11:
When dividing 3230 by 509, we get 6 with a remainder of 176.
Use 6 as the next digit of our solution. 
Result so far: 149300.536
Subtract 3054 from 3230 to get 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Advancing to step 12:
509 can be fit into 1760 3 times, resulting in a remainder of 233.
Write down 3 as next digit of the result. 
Result so far: 149300.5363
If we take 1527 away from 1760, we end up with 233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2330, and continue the process.

Let's proceed to step 13:
2330 divided by 509 is 4 with a remainder of 294.
The next digit of our result is 4. 
Result so far: 149300.53634
If we take 2036 away from 2330, we end up with 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

Going ahead to step 14:
When dividing 2940 by 509, we get 5 with a remainder of 395.
Put 5 as the next digit of the answer. 
Result so far: 149300.536345
The remainder is 395 after subtracting 2545 from 2940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

On to step 15:
3950 divided by 509 is 7 with a remainder of 387.
Put 7 as the next digit of the answer. 
Result so far: 149300.5363457
Deduct 3563 from 3950 and we're left with 387.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3870, and continue the process.

Going ahead to step 16:
3870 divided by 509 is 7 with a remainder of 307.
Put 7 as the next digit of the answer. 
Result so far: 149300.53634577
Deduct 3563 from 3870 and we're left with 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

The quotient of the division is 149300.53634577, and the remainder is 3.07e-07.