Let's divide 610414 by 91
Our goal is to divide 610414 by 91.

Moving on to step 1:
6 divided by 91 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 91

Advancing to step 2:
The number 91 fits into 61 0 times, leaving a remainder of 61.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 61 leaves us with 61.
Grab the next digit (0) from the dividend, add it to 61, then carry on: 610 / 91

Moving on to step 3:
The number 91 fits into 610 6 times, leaving a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 546 from 610, we get 64.
Append the next digit (4) from the dividend to 64 and continue with: 644 / 91

Step 4:
91 can be fit into 644 7 times, resulting in a remainder of 7.
The next digit of our result is 7. 
Result so far: 67.0
If we subtract 637 from 644, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 91

Let's proceed to step 5:
71 divided by 91 is 0 with a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 670.0
If we subtract 0 from 71, we get 71.
Bring next digit (4) of the dividend behind the 71 and repeat the process: 714 / 91

Let's proceed to step 6:
91 can be fit into 714 7 times, resulting in a remainder of 77.
Use 7 as the next digit of our solution. 
Result so far: 6707.0
If we subtract 637 from 714, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 7:
If we divide 770 by 91, we get 8 and a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 6707.8
Subtract 728 from 770 to get 42.
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 8:
420 divided by 91 is 4 with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 6707.84
If we take 364 away from 420, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 9:
When dividing 560 by 91, we get 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 6707.846
Subtracting 546 from 560 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
When dividing 140 by 91, we get 1 with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 6707.8461
If we subtract 91 from 140, we 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.

Step 11:
490 divided by 91 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 6707.84615
If we take 455 away from 490, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 12:
91 goes into 350 3 times with a remainder of 77.
Use 3 as the next digit of our solution. 
Result so far: 6707.846153
If we take 273 away from 350, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 13:
The number 91 fits into 770 8 times, leaving a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 6707.8461538
If we subtract 728 from 770, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 14:
91 goes into 420 4 times with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 6707.84615384
Deduct 364 from 420 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final result is 6707.84615384 with a remainder of 5.6e-08.