We're dividing 75929646 by 586 
Our goal is to divide 75929646 by 586.

Step 1:
586 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 586

Step 2:
586 goes into 75 0 times with a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 75, we end up with 75.
Include the next digit (9) from the dividend after 75, then repeat: 759 / 586

Moving on to step 3:
586 goes into 759 1 times with a remainder of 173.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 586 from 759 leaves us with 173.
Append the next digit (2) from the dividend to 173 and continue with: 1732 / 586

Advancing to step 4:
586 goes into 1732 2 times with a remainder of 560.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 1172 from 1732 leaves us with 560.
Grab the next digit (9) from the dividend, add it to 560, then carry on: 5609 / 586

Going ahead to step 5:
If we divide 5609 by 586, we get 9 and a remainder of 335.
Write down 9 as next digit of the result. 
Result so far: 129.0
If we subtract 5274 from 5609, we get 335.
Append the next digit (6) from the dividend to 335 and continue with: 3356 / 586

Going ahead to step 6:
586 goes into 3356 5 times with a remainder of 426.
The next digit of our result is 5. 
Result so far: 1295.0
Deduct 2930 from 3356 and we're left with 426.
Take the next digit (4) from the dividend and append it to 426, then repeat: 4264 / 586

Step 7:
If we divide 4264 by 586, we get 7 and a remainder of 162.
Use 7 as the next digit of our solution. 
Result so far: 12957.0
If we take 4102 away from 4264, we end up with 162.
Fetch the next digit (6) from the dividend, attach it to 162 and continue: 1626 / 586

Moving on to step 8:
When dividing 1626 by 586, we get 2 with a remainder of 454.
Use 2 as the next digit of our solution. 
Result so far: 129572.0
Deduct 1172 from 1626 and we're left with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

On to step 9:
The number 586 fits into 4540 7 times, leaving a remainder of 438.
The number 7 becomes the next digit in our result. 
Result so far: 129572.7
Subtract 4102 from 4540 to get 438.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

Step 10:
When dividing 4380 by 586, we get 7 with a remainder of 278.
The number 7 becomes the next digit in our result. 
Result so far: 129572.77
If we subtract 4102 from 4380, we get 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

In conclusion, the division gives 129572.77 with a balance of 0.278.