75977 ÷ 84 
We're looking to find how many times 84 goes into 75977.

On to step 1:
84 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 84

Going ahead to step 2:
84 can be fit into 75 0 times, resulting in a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Take the next digit (9) from the dividend and append it to 75, then repeat: 759 / 84

Advancing to step 3:
759 divided by 84 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 756 from 759, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 84

On to step 4:
84 goes into 37 0 times with a remainder of 37.
The next digit of our result is 0. 
Result so far: 90.0
If we take 0 away from 37, we end up with 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 84

Let's proceed to step 5:
When dividing 377 by 84, we get 4 with a remainder of 41.
Use 4 as the next digit of our solution. 
Result so far: 904.0
Subtract 336 from 377 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 6:
When dividing 410 by 84, we get 4 with a remainder of 74.
Record the quotient 4 as the next digit in the result. 
Result so far: 904.4
Subtracting 336 from 410 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 7:
The number 84 fits into 740 8 times, leaving a remainder of 68.
The number 8 becomes the next digit in our result. 
Result so far: 904.48
Deduct 672 from 740 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 8:
When dividing 680 by 84, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 904.488
If we subtract 672 from 680, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 904.488 with a balance of 0.0008.