Let's divide 687629 by 298
Our goal is to divide 687629 by 298.

Let's proceed to step 1:
If we divide 6 by 298, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 298

Advancing to step 2:
298 can be fit into 68 0 times, resulting in a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 68, we end up with 68.
Bring next digit (7) of the dividend behind the 68 and repeat the process: 687 / 298

Advancing to step 3:
The number 298 fits into 687 2 times, leaving a remainder of 91.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 596 from 687 to get 91.
Fetch the next digit (6) from the dividend, attach it to 91 and continue: 916 / 298

Moving on to step 4:
If we divide 916 by 298, we get 3 and a remainder of 22.
The next digit of our result is 3. 
Result so far: 23.0
The remainder is 22 after subtracting 894 from 916.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 298

On to step 5:
If we divide 222 by 298, we get 0 and a remainder of 222.
The next digit of our result is 0. 
Result so far: 230.0
If we take 0 away from 222, we end up with 222.
Append the next digit (9) from the dividend to 222 and continue with: 2229 / 298

Moving on to step 6:
The number 298 fits into 2229 7 times, leaving a remainder of 143.
The number 7 becomes the next digit in our result. 
Result so far: 2307.0
If we subtract 2086 from 2229, we get 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Step 7:
When dividing 1430 by 298, we get 4 with a remainder of 238.
The next digit of our result is 4. 
Result so far: 2307.4
If we take 1192 away from 1430, we end up with 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Going ahead to step 8:
The number 298 fits into 2380 7 times, leaving a remainder of 294.
Write down 7 as next digit of the result. 
Result so far: 2307.47
Deduct 2086 from 2380 and we're left with 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

Advancing to step 9:
When dividing 2940 by 298, we get 9 with a remainder of 258.
The next digit of our result is 9. 
Result so far: 2307.479
Subtract 2682 from 2940 to get 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Let's proceed to step 10:
2580 divided by 298 is 8 with a remainder of 196.
Use 8 as the next digit of our solution. 
Result so far: 2307.4798
If we subtract 2384 from 2580, we get 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Step 11:
298 goes into 1960 6 times with a remainder of 172.
Put 6 as the next digit of the answer. 
Result so far: 2307.47986
Deduct 1788 from 1960 and we're left with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

On to step 12:
298 goes into 1720 5 times with a remainder of 230.
The next digit of our result is 5. 
Result so far: 2307.479865
If we take 1490 away from 1720, we end up with 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

On to step 13:
When dividing 2300 by 298, we get 7 with a remainder of 214.
Use 7 as the next digit of our solution. 
Result so far: 2307.4798657
Subtract 2086 from 2300 to get 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Advancing to step 14:
When dividing 2140 by 298, we get 7 with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 2307.47986577
Subtract 2086 from 2140 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 2307.47986577 with a remainder of 5.4e-08.