We look at the division of 10416864 by 626 
We want to divide 10416864 by 626.

Advancing to step 1:
626 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 626

Step 2:
626 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 626

Let's proceed to step 3:
If we divide 104 by 626, we get 0 and a remainder of 104.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 104, we end up with 104.
Fetch the next digit (1) from the dividend, attach it to 104 and continue: 1041 / 626

On to step 4:
626 goes into 1041 1 times with a remainder of 415.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 626 from 1041 and we're left with 415.
Take the next digit (6) from the dividend and append it to 415, then repeat: 4156 / 626

Advancing to step 5:
626 can be fit into 4156 6 times, resulting in a remainder of 400.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtracting 3756 from 4156 leaves us with 400.
Bring next digit (8) of the dividend behind the 400 and repeat the process: 4008 / 626

Step 6:
626 can be fit into 4008 6 times, resulting in a remainder of 252.
Use 6 as the next digit of our solution. 
Result so far: 166.0
Subtract 3756 from 4008 to get 252.
Include the next digit (6) from the dividend after 252, then repeat: 2526 / 626

Advancing to step 7:
When dividing 2526 by 626, we get 4 with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 1664.0
Deduct 2504 from 2526 and we're left with 22.
Take the next digit (4) from the dividend and append it to 22, then repeat: 224 / 626

On to step 8:
If we divide 224 by 626, we get 0 and a remainder of 224.
Write down 0 as next digit of the result. 
Result so far: 16640.0
Deduct 0 from 224 and we're left with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Step 9:
626 can be fit into 2240 3 times, resulting in a remainder of 362.
Record the quotient 3 as the next digit in the result. 
Result so far: 16640.3
If we subtract 1878 from 2240, we get 362.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

Going ahead to step 10:
626 goes into 3620 5 times with a remainder of 490.
Use 5 as the next digit of our solution. 
Result so far: 16640.35
If we take 3130 away from 3620, we end up with 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

On to step 11:
The number 626 fits into 4900 7 times, leaving a remainder of 518.
Put 7 as the next digit of the answer. 
Result so far: 16640.357
If we take 4382 away from 4900, we end up with 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

On to step 12:
The number 626 fits into 5180 8 times, leaving a remainder of 172.
Put 8 as the next digit of the answer. 
Result so far: 16640.3578
The remainder is 172 after subtracting 5008 from 5180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Going ahead to step 13:
When dividing 1720 by 626, we get 2 with a remainder of 468.
Record the quotient 2 as the next digit in the result. 
Result so far: 16640.35782
If we subtract 1252 from 1720, we get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Moving on to step 14:
4680 divided by 626 is 7 with a remainder of 298.
Use 7 as the next digit of our solution. 
Result so far: 16640.357827
Deduct 4382 from 4680 and we're left with 298.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

Advancing to step 15:
If we divide 2980 by 626, we get 4 and a remainder of 476.
Use 4 as the next digit of our solution. 
Result so far: 16640.3578274
If we subtract 2504 from 2980, we get 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Moving on to step 16:
When dividing 4760 by 626, we get 7 with a remainder of 378.
Write down 7 as next digit of the result. 
Result so far: 16640.35782747
Deduct 4382 from 4760 and we're left with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

After the division, we end up with 16640.35782747 and a remainder of 3.78e-07.