77587 ÷ 38 
We want to figure out the number of times 77587 can be divided by 38.

On to step 1:
38 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 38

Advancing to step 2:
The number 38 fits into 77 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 1 after subtracting 76 from 77.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 38

Step 3:
38 goes into 15 0 times with a remainder of 15.
The next digit of our result is 0. 
Result so far: 20.0
If we take 0 away from 15, we end up with 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 38

Going ahead to step 4:
When dividing 158 by 38, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 204.0
If we subtract 152 from 158, we get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 38

Going ahead to step 5:
67 divided by 38 is 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 2041.0
Deduct 38 from 67 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 6:
If we divide 290 by 38, we get 7 and a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 2041.7
The remainder is 24 after subtracting 266 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
38 goes into 240 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 2041.76
Subtracting 228 from 240 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
When dividing 120 by 38, we get 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 2041.763
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
38 goes into 60 1 times with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 2041.7631
Deduct 38 from 60 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 10:
220 divided by 38 is 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 2041.76315
The remainder is 30 after subtracting 190 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
38 can be fit into 300 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 2041.763157
The remainder is 34 after subtracting 266 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 2041.7631578
Subtract 304 from 340 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 13:
When dividing 360 by 38, we get 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 2041.76315789
If we take 342 away from 360, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 2041.76315789 with a balance of 1.8e-08.