We're dividing 6422606 by 637 
Let's see how many times 637 fits into 6422606.

Step 1:
The number 637 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 637

On to step 2:
The number 637 fits into 64 0 times, leaving a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Bring next digit (2) of the dividend behind the 64 and repeat the process: 642 / 637

Moving on to step 3:
The number 637 fits into 642 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 637 from 642, we get 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 637

Step 4:
When dividing 52 by 637, we get 0 with a remainder of 52.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 52 and we're left with 52.
Include the next digit (6) from the dividend after 52, then repeat: 526 / 637

Let's proceed to step 5:
637 can be fit into 526 0 times, resulting in a remainder of 526.
Use 0 as the next digit of our solution. 
Result so far: 100.0
The remainder is 526 after subtracting 0 from 526.
Include the next digit (0) from the dividend after 526, then repeat: 5260 / 637

Let's proceed to step 6:
637 goes into 5260 8 times with a remainder of 164.
Record the quotient 8 as the next digit in the result. 
Result so far: 1008.0
Subtract 5096 from 5260 to get 164.
Append the next digit (6) from the dividend to 164 and continue with: 1646 / 637

On to step 7:
If we divide 1646 by 637, we get 2 and a remainder of 372.
Write down 2 as next digit of the result. 
Result so far: 10082.0
Deduct 1274 from 1646 and we're left with 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Moving on to step 8:
If we divide 3720 by 637, we get 5 and a remainder of 535.
Write down 5 as next digit of the result. 
Result so far: 10082.5
Subtract 3185 from 3720 to get 535.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5350, and continue the process.

Step 9:
The number 637 fits into 5350 8 times, leaving a remainder of 254.
Record the quotient 8 as the next digit in the result. 
Result so far: 10082.58
If we take 5096 away from 5350, we end up with 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

Moving on to step 10:
When dividing 2540 by 637, we get 3 with a remainder of 629.
The number 3 becomes the next digit in our result. 
Result so far: 10082.583
If we take 1911 away from 2540, we end up with 629.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6290, and continue the process.

Advancing to step 11:
The number 637 fits into 6290 9 times, leaving a remainder of 557.
The next digit of our result is 9. 
Result so far: 10082.5839
If we take 5733 away from 6290, we end up with 557.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5570, and continue the process.

Advancing to step 12:
637 goes into 5570 8 times with a remainder of 474.
The number 8 becomes the next digit in our result. 
Result so far: 10082.58398
Deduct 5096 from 5570 and we're left with 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

Going ahead to step 13:
637 goes into 4740 7 times with a remainder of 281.
The next digit of our result is 7. 
Result so far: 10082.583987
Subtract 4459 from 4740 to get 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

Step 14:
637 goes into 2810 4 times with a remainder of 262.
The next digit of our result is 4. 
Result so far: 10082.5839874
The remainder is 262 after subtracting 2548 from 2810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Step 15:
The number 637 fits into 2620 4 times, leaving a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 10082.58398744
If we take 2548 away from 2620, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final result is 10082.58398744 with a remainder of 7.2e-08.