75859019 ÷ 684 
We're looking to find how many times 684 goes into 75859019.

On to step 1:
If we divide 7 by 684, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 684

Let's proceed to step 2:
75 divided by 684 is 0 with a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Take the next digit (8) from the dividend and append it to 75, then repeat: 758 / 684

Going ahead to step 3:
758 divided by 684 is 1 with a remainder of 74.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 74 after subtracting 684 from 758.
Take the next digit (5) from the dividend and append it to 74, then repeat: 745 / 684

Moving on to step 4:
When dividing 745 by 684, we get 1 with a remainder of 61.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 61 after subtracting 684 from 745.
Fetch the next digit (9) from the dividend, attach it to 61 and continue: 619 / 684

Moving on to step 5:
When dividing 619 by 684, we get 0 with a remainder of 619.
Use 0 as the next digit of our solution. 
Result so far: 110.0
If we take 0 away from 619, we end up with 619.
Include the next digit (0) from the dividend after 619, then repeat: 6190 / 684

Advancing to step 6:
684 can be fit into 6190 9 times, resulting in a remainder of 34.
Record the quotient 9 as the next digit in the result. 
Result so far: 1109.0
If we subtract 6156 from 6190, we get 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 684

Advancing to step 7:
684 can be fit into 341 0 times, resulting in a remainder of 341.
The next digit of our result is 0. 
Result so far: 11090.0
Subtracting 0 from 341 leaves us with 341.
Append the next digit (9) from the dividend to 341 and continue with: 3419 / 684

Let's proceed to step 8:
684 goes into 3419 4 times with a remainder of 683.
Record the quotient 4 as the next digit in the result. 
Result so far: 110904.0
If we take 2736 away from 3419, we end up with 683.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6830, and continue the process.

On to step 9:
When dividing 6830 by 684, we get 9 with a remainder of 674.
Put 9 as the next digit of the answer. 
Result so far: 110904.9
Subtract 6156 from 6830 to get 674.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6740, and continue the process.

Advancing to step 10:
684 goes into 6740 9 times with a remainder of 584.
The next digit of our result is 9. 
Result so far: 110904.99
If we take 6156 away from 6740, we end up with 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

In conclusion, the division gives 110904.99 with a balance of 0.584.