Let's divide 546677 by 34
Our goal is to divide 546677 by 34.

Going ahead to step 1:
5 divided by 34 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 34

Advancing to step 2:
34 can be fit into 54 1 times, resulting in a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 34 away from 54, we end up with 20.
Include the next digit (6) from the dividend after 20, then repeat: 206 / 34

On to step 3:
206 divided by 34 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 204 from 206, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 34

On to step 4:
When dividing 26 by 34, we get 0 with a remainder of 26.
The next digit of our result is 0. 
Result so far: 160.0
Subtract 0 from 26 to get 26.
Fetch the next digit (7) from the dividend, attach it to 26 and continue: 267 / 34

Going ahead to step 5:
If we divide 267 by 34, we get 7 and a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 1607.0
If we subtract 238 from 267, we get 29.
Include the next digit (7) from the dividend after 29, then repeat: 297 / 34

Moving on to step 6:
The number 34 fits into 297 8 times, leaving a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 16078.0
If we take 272 away from 297, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
The number 34 fits into 250 7 times, leaving a remainder of 12.
The next digit of our result is 7. 
Result so far: 16078.7
If we take 238 away from 250, we end up with 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:
120 divided by 34 is 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 16078.73
Subtracting 102 from 120 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
If we divide 180 by 34, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 16078.735
If we take 170 away from 180, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
34 goes into 100 2 times with a remainder of 32.
The next digit of our result is 2. 
Result so far: 16078.7352
Deduct 68 from 100 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
When dividing 320 by 34, we get 9 with a remainder of 14.
The next digit of our result is 9. 
Result so far: 16078.73529
If we subtract 306 from 320, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
34 goes into 140 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 16078.735294
If we take 136 away from 140, 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.

Let's proceed to step 13:
40 divided by 34 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 16078.7352941
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 16078.73529411
If we take 34 away from 60, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 16078.73529411 with a remaining 2.6e-08.