Let's divide 625833 by 61
We're looking to find how many times 61 goes into 625833.

Advancing to step 1:
61 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 61

Moving on to step 2:
62 divided by 61 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 61 from 62 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 61

Let's proceed to step 3:
The number 61 fits into 15 0 times, leaving a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 15 after subtracting 0 from 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 61

Step 4:
61 can be fit into 158 2 times, resulting in a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
The remainder is 36 after subtracting 122 from 158.
Take the next digit (3) from the dividend and append it to 36, then repeat: 363 / 61

Advancing to step 5:
The number 61 fits into 363 5 times, leaving a remainder of 58.
Write down 5 as next digit of the result. 
Result so far: 1025.0
If we subtract 305 from 363, we get 58.
Fetch the next digit (3) from the dividend, attach it to 58 and continue: 583 / 61

Moving on to step 6:
61 goes into 583 9 times with a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 10259.0
Deduct 549 from 583 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
The number 61 fits into 340 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 10259.5
Deduct 305 from 340 and we're left 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.

On to step 8:
When dividing 350 by 61, we get 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 10259.55
If we subtract 305 from 350, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 10259.55 with a remaining 0.045.