We look at the division of 77743997 by 513 
We want to divide 77743997 by 513.

Step 1:
513 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 513

Let's proceed to step 2:
513 can be fit into 77 0 times, resulting in a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Fetch the next digit (7) from the dividend, attach it to 77 and continue: 777 / 513

Going ahead to step 3:
If we divide 777 by 513, we get 1 and a remainder of 264.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 513 from 777 to get 264.
Grab the next digit (4) from the dividend, add it to 264, then carry on: 2644 / 513

Let's proceed to step 4:
The number 513 fits into 2644 5 times, leaving a remainder of 79.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtract 2565 from 2644 to get 79.
Take the next digit (3) from the dividend and append it to 79, then repeat: 793 / 513

Advancing to step 5:
513 goes into 793 1 times with a remainder of 280.
Record the quotient 1 as the next digit in the result. 
Result so far: 151.0
The remainder is 280 after subtracting 513 from 793.
Bring next digit (9) of the dividend behind the 280 and repeat the process: 2809 / 513

On to step 6:
If we divide 2809 by 513, we get 5 and a remainder of 244.
Use 5 as the next digit of our solution. 
Result so far: 1515.0
If we subtract 2565 from 2809, we get 244.
Take the next digit (9) from the dividend and append it to 244, then repeat: 2449 / 513

Advancing to step 7:
2449 divided by 513 is 4 with a remainder of 397.
The number 4 becomes the next digit in our result. 
Result so far: 15154.0
If we take 2052 away from 2449, we end up with 397.
Bring next digit (7) of the dividend behind the 397 and repeat the process: 3977 / 513

Let's proceed to step 8:
3977 divided by 513 is 7 with a remainder of 386.
The number 7 becomes the next digit in our result. 
Result so far: 151547.0
Subtract 3591 from 3977 to get 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

Advancing to step 9:
The number 513 fits into 3860 7 times, leaving a remainder of 269.
Write down 7 as next digit of the result. 
Result so far: 151547.7
Subtracting 3591 from 3860 leaves us with 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2690, and continue the process.

Step 10:
2690 divided by 513 is 5 with a remainder of 125.
Use 5 as the next digit of our solution. 
Result so far: 151547.75
The remainder is 125 after subtracting 2565 from 2690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Moving on to step 11:
If we divide 1250 by 513, we get 2 and a remainder of 224.
Use 2 as the next digit of our solution. 
Result so far: 151547.752
If we subtract 1026 from 1250, we get 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Advancing to step 12:
513 goes into 2240 4 times with a remainder of 188.
Use 4 as the next digit of our solution. 
Result so far: 151547.7524
Subtract 2052 from 2240 to get 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

On to step 13:
If we divide 1880 by 513, we get 3 and a remainder of 341.
Put 3 as the next digit of the answer. 
Result so far: 151547.75243
The remainder is 341 after subtracting 1539 from 1880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3410, and continue the process.

Moving on to step 14:
If we divide 3410 by 513, we get 6 and a remainder of 332.
Use 6 as the next digit of our solution. 
Result so far: 151547.752436
Deduct 3078 from 3410 and we're left with 332.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3320, and continue the process.

Let's proceed to step 15:
3320 divided by 513 is 6 with a remainder of 242.
The number 6 becomes the next digit in our result. 
Result so far: 151547.7524366
If we subtract 3078 from 3320, we get 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2420, and continue the process.

The final outcome is 151547.7524366, with a leftover of 2.42e-06.