We're dividing 25836942 by 676 
We're looking to find how many times 676 goes into 25836942.

Advancing to step 1:
676 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 676

Let's proceed to step 2:
The number 676 fits into 25 0 times, leaving a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 676

On to step 3:
676 can be fit into 258 0 times, resulting in a remainder of 258.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 258, we end up with 258.
Take the next digit (3) from the dividend and append it to 258, then repeat: 2583 / 676

Advancing to step 4:
2583 divided by 676 is 3 with a remainder of 555.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 2028 from 2583, we get 555.
Append the next digit (6) from the dividend to 555 and continue with: 5556 / 676

Let's proceed to step 5:
If we divide 5556 by 676, we get 8 and a remainder of 148.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
If we take 5408 away from 5556, we end up with 148.
Fetch the next digit (9) from the dividend, attach it to 148 and continue: 1489 / 676

Advancing to step 6:
When dividing 1489 by 676, we get 2 with a remainder of 137.
The number 2 becomes the next digit in our result. 
Result so far: 382.0
If we take 1352 away from 1489, we end up with 137.
Grab the next digit (4) from the dividend, add it to 137, then carry on: 1374 / 676

Moving on to step 7:
1374 divided by 676 is 2 with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 3822.0
Deduct 1352 from 1374 and we're left with 22.
Take the next digit (2) from the dividend and append it to 22, then repeat: 222 / 676

On to step 8:
The number 676 fits into 222 0 times, leaving a remainder of 222.
Put 0 as the next digit of the answer. 
Result so far: 38220.0
Subtract 0 from 222 to get 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

Moving on to step 9:
If we divide 2220 by 676, we get 3 and a remainder of 192.
The next digit of our result is 3. 
Result so far: 38220.3
The remainder is 192 after subtracting 2028 from 2220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Step 10:
When dividing 1920 by 676, we get 2 with a remainder of 568.
Write down 2 as next digit of the result. 
Result so far: 38220.32
If we subtract 1352 from 1920, we 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 11:
5680 divided by 676 is 8 with a remainder of 272.
The next digit of our result is 8. 
Result so far: 38220.328
Subtracting 5408 from 5680 leaves us with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Going ahead to step 12:
The number 676 fits into 2720 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 38220.3284
The remainder is 16 after subtracting 2704 from 2720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
160 divided by 676 is 0 with a remainder of 160.
Put 0 as the next digit of the answer. 
Result so far: 38220.3284
Deduct 0 from 160 and we're left with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Step 14:
If we divide 1600 by 676, we get 2 and a remainder of 248.
The number 2 becomes the next digit in our result. 
Result so far: 38220.328402
If we take 1352 away from 1600, we end up with 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Moving on to step 15:
676 goes into 2480 3 times with a remainder of 452.
Use 3 as the next digit of our solution. 
Result so far: 38220.3284023
If we subtract 2028 from 2480, we get 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Advancing to step 16:
When dividing 4520 by 676, we get 6 with a remainder of 464.
Put 6 as the next digit of the answer. 
Result so far: 38220.32840236
Subtract 4056 from 4520 to get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

The final outcome is 38220.32840236, with a leftover of 4.64e-07.