Let's divide 13740 by 61
We want to figure out the number of times 13740 can be divided by 61.

On to step 1:
61 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 61

Going ahead to step 2:
The number 61 fits into 13 0 times, leaving a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 61

Let's proceed to step 3:
If we divide 137 by 61, we get 2 and a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 122 from 137, we get 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 61

Step 4:
61 can be fit into 154 2 times, resulting in a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Subtracting 122 from 154 leaves us with 32.
Include the next digit (0) from the dividend after 32, then repeat: 320 / 61

Going ahead to step 5:
If we divide 320 by 61, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 225.0
Subtract 305 from 320 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 6:
The number 61 fits into 150 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 225.2
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.

Let's proceed to step 7:
When dividing 280 by 61, we get 4 with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 225.24
The remainder is 36 after subtracting 244 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 8:
If we divide 360 by 61, we get 5 and a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 225.245
The remainder is 55 after subtracting 305 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 9:
61 can be fit into 550 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 225.2459
If we take 549 away from 550, we end up with 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 10:
When dividing 10 by 61, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 225.2459
Subtracting 0 from 10 leaves us 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.

Moving on to step 11:
61 goes into 100 1 times with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 225.245901
Subtracting 61 from 100 leaves us 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.

Advancing to step 12:
If we divide 390 by 61, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 225.2459016
Subtracting 366 from 390 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 13:
61 can be fit into 240 3 times, resulting in a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 225.24590163
If we subtract 183 from 240, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The quotient of the division is 225.24590163, and the remainder is 5.7e-08.