We're dividing 541873 by 6 
We're looking to find how many times 6 goes into 541873.

Advancing to step 1:
6 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 6

Moving on to step 2:
54 divided by 6 is 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 54 from 54 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 6

Let's proceed to step 3:
1 divided by 6 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
Subtract 0 from 1 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 6

On to step 4:
If we divide 18 by 6, we get 3 and a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 903.0
Subtract 18 from 18 to get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 6

Going ahead to step 5:
6 goes into 7 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 9031.0
If we subtract 6 from 7, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 6

Advancing to step 6:
6 can be fit into 13 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 90312.0
Subtract 12 from 13 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
10 divided by 6 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 90312.1
If we take 6 away from 10, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 90312.16
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
When dividing 40 by 6, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 90312.166
Subtract 36 from 40 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 90312.166, and the remainder is 0.0004.