We look at the division of 35657414 by 682 
Our goal is to divide 35657414 by 682.

Step 1:
682 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 682

Moving on to step 2:
682 can be fit into 35 0 times, resulting in a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 682

Going ahead to step 3:
If we divide 356 by 682, we get 0 and a remainder of 356.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 356 leaves us with 356.
Take the next digit (5) from the dividend and append it to 356, then repeat: 3565 / 682

Advancing to step 4:
3565 divided by 682 is 5 with a remainder of 155.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 155 after subtracting 3410 from 3565.
Append the next digit (7) from the dividend to 155 and continue with: 1557 / 682

Advancing to step 5:
If we divide 1557 by 682, we get 2 and a remainder of 193.
Use 2 as the next digit of our solution. 
Result so far: 52.0
If we subtract 1364 from 1557, we get 193.
Fetch the next digit (4) from the dividend, attach it to 193 and continue: 1934 / 682

On to step 6:
When dividing 1934 by 682, we get 2 with a remainder of 570.
Use 2 as the next digit of our solution. 
Result so far: 522.0
Subtracting 1364 from 1934 leaves us with 570.
Include the next digit (1) from the dividend after 570, then repeat: 5701 / 682

Moving on to step 7:
The number 682 fits into 5701 8 times, leaving a remainder of 245.
Use 8 as the next digit of our solution. 
Result so far: 5228.0
The remainder is 245 after subtracting 5456 from 5701.
Append the next digit (4) from the dividend to 245 and continue with: 2454 / 682

Advancing to step 8:
682 goes into 2454 3 times with a remainder of 408.
Put 3 as the next digit of the answer. 
Result so far: 52283.0
Deduct 2046 from 2454 and we're left with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Moving on to step 9:
682 can be fit into 4080 5 times, resulting in a remainder of 670.
Put 5 as the next digit of the answer. 
Result so far: 52283.5
Subtract 3410 from 4080 to get 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6700, and continue the process.

Step 10:
682 goes into 6700 9 times with a remainder of 562.
The next digit of our result is 9. 
Result so far: 52283.59
If we subtract 6138 from 6700, we get 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Step 11:
5620 divided by 682 is 8 with a remainder of 164.
Record the quotient 8 as the next digit in the result. 
Result so far: 52283.598
Deduct 5456 from 5620 and we're left with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Going ahead to step 12:
When dividing 1640 by 682, we get 2 with a remainder of 276.
The next digit of our result is 2. 
Result so far: 52283.5982
If we subtract 1364 from 1640, we get 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Moving on to step 13:
The number 682 fits into 2760 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 52283.59824
Deduct 2728 from 2760 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 14:
The number 682 fits into 320 0 times, leaving a remainder of 320.
Use 0 as the next digit of our solution. 
Result so far: 52283.59824
Deduct 0 from 320 and we're left with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Advancing to step 15:
The number 682 fits into 3200 4 times, leaving a remainder of 472.
Put 4 as the next digit of the answer. 
Result so far: 52283.5982404
Deduct 2728 from 3200 and we're left with 472.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4720, and continue the process.

Step 16:
When dividing 4720 by 682, we get 6 with a remainder of 628.
Record the quotient 6 as the next digit in the result. 
Result so far: 52283.59824046
Deduct 4092 from 4720 and we're left with 628.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6280, and continue the process.

After the division, we end up with 52283.59824046 and a remainder of 6.28e-07.