533906 ÷ 61 
Our goal is to divide 533906 by 61.

Going ahead to step 1:
5 divided by 61 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 61

Going ahead to step 2:
61 goes into 53 0 times with a remainder of 53.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 53 leaves us with 53.
Append the next digit (3) from the dividend to 53 and continue with: 533 / 61

On to step 3:
If we divide 533 by 61, we get 8 and a remainder of 45.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 488 away from 533, we end up with 45.
Include the next digit (9) from the dividend after 45, then repeat: 459 / 61

Step 4:
If we divide 459 by 61, we get 7 and a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 87.0
If we take 427 away from 459, we end up with 32.
Take the next digit (0) from the dividend and append it to 32, then repeat: 320 / 61

Going ahead to step 5:
The number 61 fits into 320 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 875.0
If we take 305 away from 320, we end up with 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 61

Let's proceed to step 6:
When dividing 156 by 61, we get 2 with a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 8752.0
If we subtract 122 from 156, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
61 can be fit into 340 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 8752.5
If we take 305 away from 340, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
350 divided by 61 is 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 8752.55
Deduct 305 from 350 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final result is 8752.55 with a remainder of 0.045.