We're dividing 3671 by 61 
Let's see how many times 61 fits into 3671.

Let's proceed to step 1:
When dividing 3 by 61, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 61

On to step 2:
61 can be fit into 36 0 times, resulting in a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 36, we end up with 36.
Take the next digit (7) from the dividend and append it to 36, then repeat: 367 / 61

Going ahead to step 3:
61 can be fit into 367 6 times, resulting in a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 1 after subtracting 366 from 367.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 61

Let's proceed to step 4:
The number 61 fits into 11 0 times, leaving a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 60.0
The remainder is 11 after subtracting 0 from 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 5:
110 divided by 61 is 1 with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 60.1
Subtract 61 from 110 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 6:
61 can be fit into 490 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 60.18
If we take 488 away from 490, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
When dividing 20 by 61, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 60.18
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 60.1803
If we take 183 away from 200, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
The number 61 fits into 170 2 times, leaving a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 60.18032
Deduct 122 from 170 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 10:
The number 61 fits into 480 7 times, leaving a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 60.180327
Subtract 427 from 480 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 11:
If we divide 530 by 61, we get 8 and a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 60.1803278
The remainder is 42 after subtracting 488 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 12:
61 can be fit into 420 6 times, resulting in a remainder of 54.
Record the quotient 6 as the next digit in the result. 
Result so far: 60.18032786
If we subtract 366 from 420, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

After the division, we end up with 60.18032786 and a remainder of 5.4e-08.