We're dividing 7141462 by 682 
We want to divide 7141462 by 682.

Moving on to step 1:
If we divide 7 by 682, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 682

Moving on to step 2:
If we divide 71 by 682, we get 0 and a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Grab the next digit (4) from the dividend, add it to 71, then carry on: 714 / 682

Moving on to step 3:
714 divided by 682 is 1 with a remainder of 32.
The next digit of our result is 1. 
Result so far: 1.0
If we take 682 away from 714, we end up with 32.
Grab the next digit (1) from the dividend, add it to 32, then carry on: 321 / 682

Advancing to step 4:
682 can be fit into 321 0 times, resulting in a remainder of 321.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 321, we get 321.
Append the next digit (4) from the dividend to 321 and continue with: 3214 / 682

Step 5:
When dividing 3214 by 682, we get 4 with a remainder of 486.
Write down 4 as next digit of the result. 
Result so far: 104.0
Subtract 2728 from 3214 to get 486.
Include the next digit (6) from the dividend after 486, then repeat: 4866 / 682

On to step 6:
If we divide 4866 by 682, we get 7 and a remainder of 92.
Use 7 as the next digit of our solution. 
Result so far: 1047.0
If we subtract 4774 from 4866, we get 92.
Bring next digit (2) of the dividend behind the 92 and repeat the process: 922 / 682

Advancing to step 7:
If we divide 922 by 682, we get 1 and a remainder of 240.
Use 1 as the next digit of our solution. 
Result so far: 10471.0
If we subtract 682 from 922, we get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Moving on to step 8:
2400 divided by 682 is 3 with a remainder of 354.
Put 3 as the next digit of the answer. 
Result so far: 10471.3
Deduct 2046 from 2400 and we're left with 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

Step 9:
If we divide 3540 by 682, we get 5 and a remainder of 130.
Use 5 as the next digit of our solution. 
Result so far: 10471.35
Deduct 3410 from 3540 and we're left with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Let's proceed to step 10:
The number 682 fits into 1300 1 times, leaving a remainder of 618.
Use 1 as the next digit of our solution. 
Result so far: 10471.351
If we take 682 away from 1300, we end up with 618.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6180, and continue the process.

Moving on to step 11:
6180 divided by 682 is 9 with a remainder of 42.
Record the quotient 9 as the next digit in the result. 
Result so far: 10471.3519
Subtracting 6138 from 6180 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 12:
682 can be fit into 420 0 times, resulting in a remainder of 420.
Write down 0 as next digit of the result. 
Result so far: 10471.3519
Subtract 0 from 420 to get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Step 13:
The number 682 fits into 4200 6 times, leaving a remainder of 108.
Use 6 as the next digit of our solution. 
Result so far: 10471.351906
Subtract 4092 from 4200 to get 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Step 14:
682 can be fit into 1080 1 times, resulting in a remainder of 398.
The number 1 becomes the next digit in our result. 
Result so far: 10471.3519061
If we subtract 682 from 1080, we get 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Step 15:
If we divide 3980 by 682, we get 5 and a remainder of 570.
The number 5 becomes the next digit in our result. 
Result so far: 10471.35190615
Subtract 3410 from 3980 to get 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5700, and continue the process.

After the division, we end up with 10471.35190615 and a remainder of 5.7e-07.