541541 divided by 84 
Our goal is to divide 541541 by 84.

Going ahead to step 1:
When dividing 5 by 84, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 84

Going ahead to step 2:
If we divide 54 by 84, we get 0 and a remainder of 54.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 54, we get 54.
Grab the next digit (1) from the dividend, add it to 54, then carry on: 541 / 84

Moving on to step 3:
When dividing 541 by 84, we get 6 with a remainder of 37.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 504 from 541, we get 37.
Append the next digit (5) from the dividend to 37 and continue with: 375 / 84

Step 4:
375 divided by 84 is 4 with a remainder of 39.
Write down 4 as next digit of the result. 
Result so far: 64.0
The remainder is 39 after subtracting 336 from 375.
Bring next digit (4) of the dividend behind the 39 and repeat the process: 394 / 84

Moving on to step 5:
394 divided by 84 is 4 with a remainder of 58.
Record the quotient 4 as the next digit in the result. 
Result so far: 644.0
If we subtract 336 from 394, we get 58.
Include the next digit (1) from the dividend after 58, then repeat: 581 / 84

On to step 6:
When dividing 581 by 84, we get 6 with a remainder of 77.
The number 6 becomes the next digit in our result. 
Result so far: 6446.0
If we take 504 away from 581, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 7:
84 goes into 770 9 times with a remainder of 14.
The next digit of our result is 9. 
Result so far: 6446.9
If we take 756 away from 770, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
140 divided by 84 is 1 with a remainder of 56.
Use 1 as the next digit of our solution. 
Result so far: 6446.91
Subtracting 84 from 140 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 9:
84 can be fit into 560 6 times, resulting in a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 6446.916
Subtracting 504 from 560 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 10:
84 goes into 560 6 times with a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 6446.9166
Deduct 504 from 560 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 6446.9166 with a balance of 0.00056.