We're dividing 664541 by 34 
Our goal is to divide 664541 by 34.

On to step 1:
The number 34 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 34

Moving on to step 2:
34 can be fit into 66 1 times, resulting in a remainder of 32.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 34 from 66 leaves us with 32.
Fetch the next digit (4) from the dividend, attach it to 32 and continue: 324 / 34

Moving on to step 3:
34 goes into 324 9 times with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Subtract 306 from 324 to get 18.
Bring next digit (5) of the dividend behind the 18 and repeat the process: 185 / 34

Let's proceed to step 4:
The number 34 fits into 185 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 195.0
Subtracting 170 from 185 leaves us with 15.
Grab the next digit (4) from the dividend, add it to 15, then carry on: 154 / 34

Advancing to step 5:
If we divide 154 by 34, we get 4 and a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 1954.0
Subtract 136 from 154 to get 18.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 34

Step 6:
The number 34 fits into 181 5 times, leaving a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 19545.0
Subtract 170 from 181 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
If we divide 110 by 34, we get 3 and a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 19545.3
If we subtract 102 from 110, 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.

Moving on to step 8:
34 goes into 80 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 19545.32
Deduct 68 from 80 and we're left 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.

On to step 9:
34 can be fit into 120 3 times, resulting in a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 19545.323
The remainder is 18 after subtracting 102 from 120.
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 10:
34 can be fit into 180 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 19545.3235
The remainder is 10 after subtracting 170 from 180.
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 11:
If we divide 100 by 34, we get 2 and a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 19545.32352
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.

Advancing to step 12:
320 divided by 34 is 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 19545.323529
The remainder is 14 after subtracting 306 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
If we divide 140 by 34, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 19545.3235294
The remainder is 4 after subtracting 136 from 140.
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 14:
40 divided by 34 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 19545.32352941
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.

The quotient of the division is 19545.32352941, and the remainder is 6e-09.