76838412 divided by 586 
We want to figure out the number of times 76838412 can be divided by 586.

Step 1:
If we divide 7 by 586, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 586

Going ahead to step 2:
The number 586 fits into 76 0 times, leaving a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 76 after subtracting 0 from 76.
Include the next digit (8) from the dividend after 76, then repeat: 768 / 586

On to step 3:
If we divide 768 by 586, we get 1 and a remainder of 182.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 586 from 768 to get 182.
Take the next digit (3) from the dividend and append it to 182, then repeat: 1823 / 586

Let's proceed to step 4:
586 goes into 1823 3 times with a remainder of 65.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 1758 from 1823 to get 65.
Append the next digit (8) from the dividend to 65 and continue with: 658 / 586

Advancing to step 5:
586 goes into 658 1 times with a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 131.0
Deduct 586 from 658 and we're left with 72.
Append the next digit (4) from the dividend to 72 and continue with: 724 / 586

Going ahead to step 6:
586 can be fit into 724 1 times, resulting in a remainder of 138.
Write down 1 as next digit of the result. 
Result so far: 1311.0
The remainder is 138 after subtracting 586 from 724.
Take the next digit (1) from the dividend and append it to 138, then repeat: 1381 / 586

On to step 7:
When dividing 1381 by 586, we get 2 with a remainder of 209.
The number 2 becomes the next digit in our result. 
Result so far: 13112.0
The remainder is 209 after subtracting 1172 from 1381.
Take the next digit (2) from the dividend and append it to 209, then repeat: 2092 / 586

Advancing to step 8:
When dividing 2092 by 586, we get 3 with a remainder of 334.
The number 3 becomes the next digit in our result. 
Result so far: 131123.0
The remainder is 334 after subtracting 1758 from 2092.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

On to step 9:
586 can be fit into 3340 5 times, resulting in a remainder of 410.
The next digit of our result is 5. 
Result so far: 131123.5
Subtract 2930 from 3340 to get 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Let's proceed to step 10:
If we divide 4100 by 586, we get 6 and a remainder of 584.
Write down 6 as next digit of the result. 
Result so far: 131123.56
If we subtract 3516 from 4100, we get 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Moving on to step 11:
5840 divided by 586 is 9 with a remainder of 566.
The number 9 becomes the next digit in our result. 
Result so far: 131123.569
If we take 5274 away from 5840, we end up with 566.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

Let's proceed to step 12:
When dividing 5660 by 586, we get 9 with a remainder of 386.
Use 9 as the next digit of our solution. 
Result so far: 131123.5699
Subtracting 5274 from 5660 leaves us with 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

Our division results in 131123.5699 with a remaining 0.00386.