We look at the division of 3577658 by 626 
We want to divide 3577658 by 626.

Let's proceed to step 1:
The number 626 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 626

On to step 2:
If we divide 35 by 626, we get 0 and a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Include the next digit (7) from the dividend after 35, then repeat: 357 / 626

Let's proceed to step 3:
When dividing 357 by 626, we get 0 with a remainder of 357.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 357, we end up with 357.
Take the next digit (7) from the dividend and append it to 357, then repeat: 3577 / 626

Advancing to step 4:
626 can be fit into 3577 5 times, resulting in a remainder of 447.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 447 after subtracting 3130 from 3577.
Append the next digit (6) from the dividend to 447 and continue with: 4476 / 626

On to step 5:
4476 divided by 626 is 7 with a remainder of 94.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
If we subtract 4382 from 4476, we get 94.
Include the next digit (5) from the dividend after 94, then repeat: 945 / 626

Going ahead to step 6:
945 divided by 626 is 1 with a remainder of 319.
Record the quotient 1 as the next digit in the result. 
Result so far: 571.0
If we take 626 away from 945, we end up with 319.
Append the next digit (8) from the dividend to 319 and continue with: 3198 / 626

On to step 7:
626 can be fit into 3198 5 times, resulting in a remainder of 68.
Use 5 as the next digit of our solution. 
Result so far: 5715.0
If we take 3130 away from 3198, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 8:
When dividing 680 by 626, we get 1 with a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 5715.1
If we subtract 626 from 680, we 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.

Step 9:
626 goes into 540 0 times with a remainder of 540.
Put 0 as the next digit of the answer. 
Result so far: 5715.1
Subtracting 0 from 540 leaves us with 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Let's proceed to step 10:
626 can be fit into 5400 8 times, resulting in a remainder of 392.
The next digit of our result is 8. 
Result so far: 5715.108
Deduct 5008 from 5400 and we're left with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Going ahead to step 11:
If we divide 3920 by 626, we get 6 and a remainder of 164.
Put 6 as the next digit of the answer. 
Result so far: 5715.1086
The remainder is 164 after subtracting 3756 from 3920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Moving on to step 12:
1640 divided by 626 is 2 with a remainder of 388.
The next digit of our result is 2. 
Result so far: 5715.10862
If we take 1252 away from 1640, we end up with 388.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3880, and continue the process.

Step 13:
3880 divided by 626 is 6 with a remainder of 124.
The next digit of our result is 6. 
Result so far: 5715.108626
If we take 3756 away from 3880, we end up with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Advancing to step 14:
If we divide 1240 by 626, we get 1 and a remainder of 614.
Put 1 as the next digit of the answer. 
Result so far: 5715.1086261
Subtract 626 from 1240 to get 614.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6140, and continue the process.

Moving on to step 15:
6140 divided by 626 is 9 with a remainder of 506.
Put 9 as the next digit of the answer. 
Result so far: 5715.10862619
If we subtract 5634 from 6140, we get 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

The final result is 5715.10862619 with a remainder of 5.06e-07.