528126 ÷ 34 
We want to figure out the number of times 528126 can be divided by 34.

On to step 1:
The number 34 fits into 5 0 times, leaving 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.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 34

Step 2:
When dividing 52 by 34, we get 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 34 from 52 to get 18.
Bring next digit (8) of the dividend behind the 18 and repeat the process: 188 / 34

Moving on to step 3:
188 divided by 34 is 5 with a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Deduct 170 from 188 and we're left with 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 34

Let's proceed to step 4:
If we divide 181 by 34, we get 5 and a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 155.0
If we take 170 away from 181, we end up with 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 34

Step 5:
34 goes into 112 3 times with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 1553.0
Subtract 102 from 112 to get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 34

On to step 6:
When dividing 106 by 34, we get 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 15533.0
Deduct 102 from 106 and we're left 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.

Step 7:
The number 34 fits into 40 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 15533.1
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 15533.11
Deduct 34 from 60 and we're left 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.

The quotient of the division is 15533.11, and the remainder is 0.026.