Let's divide 187261 by 61
Our goal is to divide 187261 by 61.

Step 1:
61 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 61

Let's proceed to step 2:
61 goes into 18 0 times with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 18, we get 18.
Append the next digit (7) from the dividend to 18 and continue with: 187 / 61

Step 3:
The number 61 fits into 187 3 times, leaving a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 183 away from 187, we end up with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 61

Moving on to step 4:
61 can be fit into 42 0 times, resulting in a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 30.0
Subtracting 0 from 42 leaves us with 42.
Take the next digit (6) from the dividend and append it to 42, then repeat: 426 / 61

On to step 5:
When dividing 426 by 61, we get 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 306.0
Subtract 366 from 426 to get 60.
Grab the next digit (1) from the dividend, add it to 60, then carry on: 601 / 61

Step 6:
61 goes into 601 9 times with a remainder of 52.
Put 9 as the next digit of the answer. 
Result so far: 3069.0
The remainder is 52 after subtracting 549 from 601.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 7:
When dividing 520 by 61, we get 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 3069.8
Deduct 488 from 520 and we're left 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.

Going ahead to step 8:
320 divided by 61 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 3069.85
The remainder is 15 after subtracting 305 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
150 divided by 61 is 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 3069.852
Deduct 122 from 150 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
61 can be fit into 280 4 times, resulting in a remainder of 36.
The next digit of our result is 4. 
Result so far: 3069.8524
Subtracting 244 from 280 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 11:
61 goes into 360 5 times with a remainder of 55.
The next digit of our result is 5. 
Result so far: 3069.85245
If we subtract 305 from 360, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 12:
The number 61 fits into 550 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 3069.852459
Subtract 549 from 550 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
If we divide 10 by 61, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 3069.852459
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
100 divided by 61 is 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 3069.85245901
Deduct 61 from 100 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

In conclusion, the division gives 3069.85245901 with a balance of 3.9e-08.