We're dividing 6214 by 76 
We want to figure out the number of times 6214 can be divided by 76.

Advancing to step 1:
76 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 76

On to step 2:
62 divided by 76 is 0 with a remainder of 62.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 62, we get 62.
Include the next digit (1) from the dividend after 62, then repeat: 621 / 76

Advancing to step 3:
When dividing 621 by 76, we get 8 with a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 13 after subtracting 608 from 621.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 76

Moving on to step 4:
When dividing 134 by 76, we get 1 with a remainder of 58.
The next digit of our result is 1. 
Result so far: 81.0
Subtracting 76 from 134 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 5:
The number 76 fits into 580 7 times, leaving a remainder of 48.
Use 7 as the next digit of our solution. 
Result so far: 81.7
If we subtract 532 from 580, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 6:
76 can be fit into 480 6 times, resulting in a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 81.76
Subtracting 456 from 480 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.

Step 7:
240 divided by 76 is 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 81.763
If we take 228 away from 240, we end up 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.

Moving on to step 8:
If we divide 120 by 76, we get 1 and a remainder of 44.
The next digit of our result is 1. 
Result so far: 81.7631
Subtract 76 from 120 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.

Moving on to step 9:
When dividing 440 by 76, we get 5 with a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 81.76315
Subtracting 380 from 440 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 10:
When dividing 600 by 76, we get 7 with a remainder of 68.
Write down 7 as next digit of the result. 
Result so far: 81.763157
If we take 532 away from 600, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 11:
When dividing 680 by 76, we get 8 with a remainder of 72.
The next digit of our result is 8. 
Result so far: 81.7631578
Subtracting 608 from 680 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 12:
720 divided by 76 is 9 with a remainder of 36.
The number 9 becomes the next digit in our result. 
Result so far: 81.76315789
The remainder is 36 after subtracting 684 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final outcome is 81.76315789, with a leftover of 3.6e-08.