4126186 ÷ 676 
We want to figure out the number of times 4126186 can be divided by 676.

On to step 1:
The number 676 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 676

Let's proceed to step 2:
If we divide 41 by 676, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 676

On to step 3:
If we divide 412 by 676, we get 0 and a remainder of 412.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 412, we end up with 412.
Take the next digit (6) from the dividend and append it to 412, then repeat: 4126 / 676

Going ahead to step 4:
The number 676 fits into 4126 6 times, leaving a remainder of 70.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 4056 from 4126 leaves us with 70.
Take the next digit (1) from the dividend and append it to 70, then repeat: 701 / 676

On to step 5:
676 can be fit into 701 1 times, resulting in a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Subtracting 676 from 701 leaves us with 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 676

On to step 6:
258 divided by 676 is 0 with a remainder of 258.
The next digit of our result is 0. 
Result so far: 610.0
Deduct 0 from 258 and we're left with 258.
Include the next digit (6) from the dividend after 258, then repeat: 2586 / 676

Going ahead to step 7:
When dividing 2586 by 676, we get 3 with a remainder of 558.
Record the quotient 3 as the next digit in the result. 
Result so far: 6103.0
The remainder is 558 after subtracting 2028 from 2586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

Advancing to step 8:
676 goes into 5580 8 times with a remainder of 172.
The next digit of our result is 8. 
Result so far: 6103.8
The remainder is 172 after subtracting 5408 from 5580.
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 9:
676 can be fit into 1720 2 times, resulting in a remainder of 368.
Use 2 as the next digit of our solution. 
Result so far: 6103.82
Subtract 1352 from 1720 to get 368.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3680, and continue the process.

Step 10:
The number 676 fits into 3680 5 times, leaving a remainder of 300.
Use 5 as the next digit of our solution. 
Result so far: 6103.825
If we take 3380 away from 3680, we end up with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Advancing to step 11:
The number 676 fits into 3000 4 times, leaving a remainder of 296.
Record the quotient 4 as the next digit in the result. 
Result so far: 6103.8254
If we take 2704 away from 3000, we end up with 296.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2960, and continue the process.

Advancing to step 12:
2960 divided by 676 is 4 with a remainder of 256.
Use 4 as the next digit of our solution. 
Result so far: 6103.82544
The remainder is 256 after subtracting 2704 from 2960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

The final result is 6103.82544 with a remainder of 0.000256.