526421 ÷ 34 
Our goal is to divide 526421 by 34.

Step 1:
34 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 34

Moving on to step 2:
52 divided by 34 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 34 from 52 and we're left with 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 34

Moving on to step 3:
The number 34 fits into 186 5 times, leaving a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtract 170 from 186 to get 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 34

Moving on to step 4:
34 goes into 164 4 times with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 154.0
Subtract 136 from 164 to get 28.
Include the next digit (2) from the dividend after 28, then repeat: 282 / 34

On to step 5:
34 can be fit into 282 8 times, resulting in a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 1548.0
Deduct 272 from 282 and we're left with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 34

Step 6:
The number 34 fits into 101 2 times, leaving a remainder of 33.
Put 2 as the next digit of the answer. 
Result so far: 15482.0
Deduct 68 from 101 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
34 goes into 330 9 times with a remainder of 24.
Put 9 as the next digit of the answer. 
Result so far: 15482.9
Subtract 306 from 330 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
34 can be fit into 240 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 15482.97
If we subtract 238 from 240, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
34 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 15482.97
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
When dividing 200 by 34, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 15482.9705
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
34 goes into 300 8 times with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 15482.97058
If we take 272 away from 300, we end up 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.

Step 12:
34 goes into 280 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 15482.970588
If we subtract 272 from 280, 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.

After the division, we end up with 15482.970588 and a remainder of 8e-07.