73774642 ÷ 506 
Our goal is to divide 73774642 by 506.

On to step 1:
506 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 506

Advancing to step 2:
506 can be fit into 73 0 times, resulting in a remainder of 73.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 73 after subtracting 0 from 73.
Take the next digit (7) from the dividend and append it to 73, then repeat: 737 / 506

On to step 3:
506 goes into 737 1 times with a remainder of 231.
The next digit of our result is 1. 
Result so far: 1.0
If we take 506 away from 737, we end up with 231.
Take the next digit (7) from the dividend and append it to 231, then repeat: 2317 / 506

Let's proceed to step 4:
506 can be fit into 2317 4 times, resulting in a remainder of 293.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 293 after subtracting 2024 from 2317.
Grab the next digit (4) from the dividend, add it to 293, then carry on: 2934 / 506

Moving on to step 5:
When dividing 2934 by 506, we get 5 with a remainder of 404.
The number 5 becomes the next digit in our result. 
Result so far: 145.0
Subtracting 2530 from 2934 leaves us with 404.
Fetch the next digit (6) from the dividend, attach it to 404 and continue: 4046 / 506

Moving on to step 6:
506 can be fit into 4046 7 times, resulting in a remainder of 504.
The next digit of our result is 7. 
Result so far: 1457.0
If we take 3542 away from 4046, we end up with 504.
Append the next digit (4) from the dividend to 504 and continue with: 5044 / 506

Step 7:
The number 506 fits into 5044 9 times, leaving a remainder of 490.
The number 9 becomes the next digit in our result. 
Result so far: 14579.0
Deduct 4554 from 5044 and we're left with 490.
Append the next digit (2) from the dividend to 490 and continue with: 4902 / 506

On to step 8:
4902 divided by 506 is 9 with a remainder of 348.
Record the quotient 9 as the next digit in the result. 
Result so far: 145799.0
If we subtract 4554 from 4902, we get 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Moving on to step 9:
If we divide 3480 by 506, we get 6 and a remainder of 444.
Record the quotient 6 as the next digit in the result. 
Result so far: 145799.6
Deduct 3036 from 3480 and we're left with 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Going ahead to step 10:
4440 divided by 506 is 8 with a remainder of 392.
Put 8 as the next digit of the answer. 
Result so far: 145799.68
If we subtract 4048 from 4440, we get 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Advancing to step 11:
The number 506 fits into 3920 7 times, leaving a remainder of 378.
Use 7 as the next digit of our solution. 
Result so far: 145799.687
Subtract 3542 from 3920 to get 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Step 12:
If we divide 3780 by 506, we get 7 and a remainder of 238.
Record the quotient 7 as the next digit in the result. 
Result so far: 145799.6877
Subtract 3542 from 3780 to get 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

In conclusion, the division gives 145799.6877 with a balance of 0.00238.