We're dividing 4136981 by 626 
We want to figure out the number of times 4136981 can be divided by 626.

Step 1:
If we divide 4 by 626, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 626

Step 2:
41 divided by 626 is 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 626

Going ahead to step 3:
626 can be fit into 413 0 times, resulting in a remainder of 413.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 413 leaves us with 413.
Take the next digit (6) from the dividend and append it to 413, then repeat: 4136 / 626

Step 4:
When dividing 4136 by 626, we get 6 with a remainder of 380.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 3756 from 4136 to get 380.
Grab the next digit (9) from the dividend, add it to 380, then carry on: 3809 / 626

Step 5:
3809 divided by 626 is 6 with a remainder of 53.
The next digit of our result is 6. 
Result so far: 66.0
If we take 3756 away from 3809, we end up with 53.
Include the next digit (8) from the dividend after 53, then repeat: 538 / 626

Moving on to step 6:
626 goes into 538 0 times with a remainder of 538.
Use 0 as the next digit of our solution. 
Result so far: 660.0
If we take 0 away from 538, we end up with 538.
Append the next digit (1) from the dividend to 538 and continue with: 5381 / 626

Let's proceed to step 7:
If we divide 5381 by 626, we get 8 and a remainder of 373.
The next digit of our result is 8. 
Result so far: 6608.0
If we take 5008 away from 5381, we end up with 373.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3730, and continue the process.

Moving on to step 8:
When dividing 3730 by 626, we get 5 with a remainder of 600.
The next digit of our result is 5. 
Result so far: 6608.5
If we take 3130 away from 3730, we end up with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

On to step 9:
If we divide 6000 by 626, we get 9 and a remainder of 366.
Put 9 as the next digit of the answer. 
Result so far: 6608.59
Deduct 5634 from 6000 and we're left with 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Step 10:
The number 626 fits into 3660 5 times, leaving a remainder of 530.
Record the quotient 5 as the next digit in the result. 
Result so far: 6608.595
Deduct 3130 from 3660 and we're left with 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

Let's proceed to step 11:
When dividing 5300 by 626, we get 8 with a remainder of 292.
Use 8 as the next digit of our solution. 
Result so far: 6608.5958
If we take 5008 away from 5300, we end up with 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

Moving on to step 12:
626 goes into 2920 4 times with a remainder of 416.
Record the quotient 4 as the next digit in the result. 
Result so far: 6608.59584
The remainder is 416 after subtracting 2504 from 2920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

On to step 13:
626 goes into 4160 6 times with a remainder of 404.
Use 6 as the next digit of our solution. 
Result so far: 6608.595846
If we subtract 3756 from 4160, we get 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

Let's proceed to step 14:
626 can be fit into 4040 6 times, resulting in a remainder of 284.
Use 6 as the next digit of our solution. 
Result so far: 6608.5958466
Subtracting 3756 from 4040 leaves us with 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

The final outcome is 6608.5958466, with a leftover of 2.84e-06.