33901 ÷ 61 
Our goal is to divide 33901 by 61.

Let's proceed to step 1:
If we divide 3 by 61, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 61

Advancing to step 2:
When dividing 33 by 61, we get 0 with a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Fetch the next digit (9) from the dividend, attach it to 33 and continue: 339 / 61

On to step 3:
When dividing 339 by 61, we get 5 with a remainder of 34.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 305 from 339 and we're left with 34.
Include the next digit (0) from the dividend after 34, then repeat: 340 / 61

Going ahead to step 4:
61 can be fit into 340 5 times, resulting in a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 55.0
Subtract 305 from 340 to get 35.
Grab the next digit (1) from the dividend, add it to 35, then carry on: 351 / 61

Step 5:
61 goes into 351 5 times with a remainder of 46.
Use 5 as the next digit of our solution. 
Result so far: 555.0
Deduct 305 from 351 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 6:
When dividing 460 by 61, we get 7 with a remainder of 33.
The next digit of our result is 7. 
Result so far: 555.7
Subtracting 427 from 460 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
61 can be fit into 330 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 555.75
Subtract 305 from 330 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
The number 61 fits into 250 4 times, leaving a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 555.754
Deduct 244 from 250 and we're left 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.

Advancing to step 9:
If we divide 60 by 61, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 555.754
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
600 divided by 61 is 9 with a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 555.75409
Subtracting 549 from 600 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 11:
61 can be fit into 510 8 times, resulting in a remainder of 22.
The next digit of our result is 8. 
Result so far: 555.754098
The remainder is 22 after subtracting 488 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
When dividing 220 by 61, we get 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 555.7540983
If we subtract 183 from 220, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
If we divide 370 by 61, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 555.75409836
Subtracting 366 from 370 leaves us 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.

The quotient of the division is 555.75409836, and the remainder is 4e-09.