541633 ÷ 61 
Our goal is to divide 541633 by 61.

On to step 1:
If we divide 5 by 61, we get 0 and 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.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 61

Step 2:
When dividing 54 by 61, we get 0 with a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 54 to get 54.
Append the next digit (1) from the dividend to 54 and continue with: 541 / 61

Let's proceed to step 3:
61 goes into 541 8 times with a remainder of 53.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 53 after subtracting 488 from 541.
Bring next digit (6) of the dividend behind the 53 and repeat the process: 536 / 61

Advancing to step 4:
61 can be fit into 536 8 times, resulting in a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 88.0
Deduct 488 from 536 and we're left with 48.
Append the next digit (3) from the dividend to 48 and continue with: 483 / 61

Going ahead to step 5:
If we divide 483 by 61, we get 7 and a remainder of 56.
The number 7 becomes the next digit in our result. 
Result so far: 887.0
Subtracting 427 from 483 leaves us with 56.
Bring next digit (3) of the dividend behind the 56 and repeat the process: 563 / 61

Advancing to step 6:
When dividing 563 by 61, we get 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 8879.0
The remainder is 14 after subtracting 549 from 563.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
140 divided by 61 is 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 8879.2
Deduct 122 from 140 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
61 goes into 180 2 times with a remainder of 58.
The next digit of our result is 2. 
Result so far: 8879.22
Deduct 122 from 180 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

After the division, we end up with 8879.22 and a remainder of 0.058.