Let's divide 71786 by 61
We want to divide 71786 by 61.

Advancing to step 1:
The number 61 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 61

Let's proceed to step 2:
61 can be fit into 71 1 times, resulting in a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 10 after subtracting 61 from 71.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 61

Let's proceed to step 3:
61 can be fit into 107 1 times, resulting in a remainder of 46.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 61 away from 107, we end up with 46.
Append the next digit (8) from the dividend to 46 and continue with: 468 / 61

Going ahead to step 4:
61 can be fit into 468 7 times, resulting in a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 117.0
Subtract 427 from 468 to get 41.
Grab the next digit (6) from the dividend, add it to 41, then carry on: 416 / 61

On to step 5:
When dividing 416 by 61, we get 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 1176.0
If we take 366 away from 416, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 6:
The number 61 fits into 500 8 times, leaving a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 1176.8
Subtracting 488 from 500 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
When dividing 120 by 61, we get 1 with a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 1176.81
If we take 61 away from 120, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 8:
The number 61 fits into 590 9 times, leaving a remainder of 41.
The next digit of our result is 9. 
Result so far: 1176.819
If we subtract 549 from 590, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 9:
The number 61 fits into 410 6 times, leaving a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 1176.8196
Subtract 366 from 410 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
When dividing 440 by 61, we get 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 1176.81967
The remainder is 13 after subtracting 427 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 11:
The number 61 fits into 130 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 1176.819672
If we take 122 away from 130, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
61 goes into 80 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 1176.8196721
The remainder is 19 after subtracting 61 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 13:
61 can be fit into 190 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 1176.81967213
If we subtract 183 from 190, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 1176.81967213 with a remainder of 7e-09.