We're dividing 13541766 by 682 
We're looking to find how many times 682 goes into 13541766.

Moving on to step 1:
682 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 682

Step 2:
When dividing 13 by 682, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 682

On to step 3:
When dividing 135 by 682, we get 0 with a remainder of 135.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 135 to get 135.
Fetch the next digit (4) from the dividend, attach it to 135 and continue: 1354 / 682

Let's proceed to step 4:
1354 divided by 682 is 1 with a remainder of 672.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 682 from 1354 leaves us with 672.
Bring next digit (1) of the dividend behind the 672 and repeat the process: 6721 / 682

Advancing to step 5:
6721 divided by 682 is 9 with a remainder of 583.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
The remainder is 583 after subtracting 6138 from 6721.
Include the next digit (7) from the dividend after 583, then repeat: 5837 / 682

Let's proceed to step 6:
The number 682 fits into 5837 8 times, leaving a remainder of 381.
Write down 8 as next digit of the result. 
Result so far: 198.0
Deduct 5456 from 5837 and we're left with 381.
Append the next digit (6) from the dividend to 381 and continue with: 3816 / 682

Let's proceed to step 7:
The number 682 fits into 3816 5 times, leaving a remainder of 406.
Put 5 as the next digit of the answer. 
Result so far: 1985.0
Subtracting 3410 from 3816 leaves us with 406.
Fetch the next digit (6) from the dividend, attach it to 406 and continue: 4066 / 682

Moving on to step 8:
If we divide 4066 by 682, we get 5 and a remainder of 656.
Put 5 as the next digit of the answer. 
Result so far: 19855.0
Subtract 3410 from 4066 to get 656.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6560, and continue the process.

Let's proceed to step 9:
682 goes into 6560 9 times with a remainder of 422.
Record the quotient 9 as the next digit in the result. 
Result so far: 19855.9
Deduct 6138 from 6560 and we're left with 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

Advancing to step 10:
682 goes into 4220 6 times with a remainder of 128.
The number 6 becomes the next digit in our result. 
Result so far: 19855.96
Subtracting 4092 from 4220 leaves us with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Going ahead to step 11:
When dividing 1280 by 682, we get 1 with a remainder of 598.
Use 1 as the next digit of our solution. 
Result so far: 19855.961
Subtract 682 from 1280 to get 598.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5980, and continue the process.

Let's proceed to step 12:
When dividing 5980 by 682, we get 8 with a remainder of 524.
The next digit of our result is 8. 
Result so far: 19855.9618
Deduct 5456 from 5980 and we're left with 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Step 13:
682 goes into 5240 7 times with a remainder of 466.
Use 7 as the next digit of our solution. 
Result so far: 19855.96187
Subtracting 4774 from 5240 leaves us with 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

On to step 14:
4660 divided by 682 is 6 with a remainder of 568.
Put 6 as the next digit of the answer. 
Result so far: 19855.961876
Subtract 4092 from 4660 to get 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

On to step 15:
5680 divided by 682 is 8 with a remainder of 224.
Use 8 as the next digit of our solution. 
Result so far: 19855.9618768
If we take 5456 away from 5680, we end up with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Let's proceed to step 16:
The number 682 fits into 2240 3 times, leaving a remainder of 194.
Put 3 as the next digit of the answer. 
Result so far: 19855.96187683
Deduct 2046 from 2240 and we're left with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

The quotient of the division is 19855.96187683, and the remainder is 1.94e-07.