561954 ÷ 65 
Our goal is to divide 561954 by 65.

Advancing to step 1:
When dividing 5 by 65, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 65

Moving on to step 2:
65 goes into 56 0 times with a remainder of 56.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 56, we end up with 56.
Include the next digit (1) from the dividend after 56, then repeat: 561 / 65

On to step 3:
65 goes into 561 8 times with a remainder of 41.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 520 from 561 to get 41.
Grab the next digit (9) from the dividend, add it to 41, then carry on: 419 / 65

On to step 4:
When dividing 419 by 65, we get 6 with a remainder of 29.
Use 6 as the next digit of our solution. 
Result so far: 86.0
If we take 390 away from 419, we end up with 29.
Append the next digit (5) from the dividend to 29 and continue with: 295 / 65

On to step 5:
If we divide 295 by 65, we get 4 and a remainder of 35.
Use 4 as the next digit of our solution. 
Result so far: 864.0
If we subtract 260 from 295, we get 35.
Fetch the next digit (4) from the dividend, attach it to 35 and continue: 354 / 65

Step 6:
When dividing 354 by 65, we get 5 with a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 8645.0
Deduct 325 from 354 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
The number 65 fits into 290 4 times, leaving a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 8645.4
If we take 260 away from 290, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
When dividing 300 by 65, we get 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 8645.44
If we subtract 260 from 300, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 8645.44 and a remainder of 0.04.