Let's divide 381536 by 61
We want to figure out the number of times 381536 can be divided by 61.

On to step 1:
The number 61 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 61

Moving on to step 2:
61 goes into 38 0 times with a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Append the next digit (1) from the dividend to 38 and continue with: 381 / 61

Moving on to step 3:
The number 61 fits into 381 6 times, leaving a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 366 away from 381, we end up with 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 61

Going ahead to step 4:
If we divide 155 by 61, we get 2 and a remainder of 33.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we take 122 away from 155, we end up with 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 61

Going ahead to step 5:
61 can be fit into 333 5 times, resulting in a remainder of 28.
Put 5 as the next digit of the answer. 
Result so far: 625.0
Subtracting 305 from 333 leaves us with 28.
Grab the next digit (6) from the dividend, add it to 28, then carry on: 286 / 61

Moving on to step 6:
If we divide 286 by 61, we get 4 and a remainder of 42.
Use 4 as the next digit of our solution. 
Result so far: 6254.0
The remainder is 42 after subtracting 244 from 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
61 goes into 420 6 times with a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 6254.6
Deduct 366 from 420 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 8:
When dividing 540 by 61, we get 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 6254.68
If we subtract 488 from 540, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 9:
The number 61 fits into 520 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 6254.688
If we take 488 away from 520, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 6254.688 with a remaining 0.0032.