We're dividing 546924 by 89 
We want to divide 546924 by 89.

Going ahead to step 1:
89 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 89

On to step 2:
When dividing 54 by 89, we get 0 with a remainder of 54.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Fetch the next digit (6) from the dividend, attach it to 54 and continue: 546 / 89

Step 3:
If we divide 546 by 89, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 534 from 546 leaves us with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 89

Let's proceed to step 4:
129 divided by 89 is 1 with a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Subtract 89 from 129 to get 40.
Include the next digit (2) from the dividend after 40, then repeat: 402 / 89

On to step 5:
If we divide 402 by 89, we get 4 and a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 614.0
Subtract 356 from 402 to get 46.
Take the next digit (4) from the dividend and append it to 46, then repeat: 464 / 89

On to step 6:
89 goes into 464 5 times with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 6145.0
Deduct 445 from 464 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
190 divided by 89 is 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 6145.2
Subtract 178 from 190 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
If we divide 120 by 89, we get 1 and a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 6145.21
Subtracting 89 from 120 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 9:
89 can be fit into 310 3 times, resulting in a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 6145.213
The remainder is 43 after subtracting 267 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 10:
If we divide 430 by 89, we get 4 and a remainder of 74.
Use 4 as the next digit of our solution. 
Result so far: 6145.2134
If we subtract 356 from 430, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 11:
89 goes into 740 8 times with a remainder of 28.
The next digit of our result is 8. 
Result so far: 6145.21348
Deduct 712 from 740 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 12:
If we divide 280 by 89, we get 3 and a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 6145.213483
Subtract 267 from 280 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 13:
130 divided by 89 is 1 with a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 6145.2134831
The remainder is 41 after subtracting 89 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 14:
89 goes into 410 4 times with a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 6145.21348314
The remainder is 54 after subtracting 356 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

In conclusion, the division gives 6145.21348314 with a balance of 5.4e-08.