5810374 ÷ 637 
We're looking to find how many times 637 goes into 5810374.

Advancing to step 1:
5 divided by 637 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 637

Advancing to step 2:
58 divided by 637 is 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Grab the next digit (1) from the dividend, add it to 58, then carry on: 581 / 637

Advancing to step 3:
When dividing 581 by 637, we get 0 with a remainder of 581.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 581 leaves us with 581.
Fetch the next digit (0) from the dividend, attach it to 581 and continue: 5810 / 637

Advancing to step 4:
If we divide 5810 by 637, we get 9 and a remainder of 77.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 77 after subtracting 5733 from 5810.
Fetch the next digit (3) from the dividend, attach it to 77 and continue: 773 / 637

Going ahead to step 5:
The number 637 fits into 773 1 times, leaving a remainder of 136.
Write down 1 as next digit of the result. 
Result so far: 91.0
If we subtract 637 from 773, we get 136.
Take the next digit (7) from the dividend and append it to 136, then repeat: 1367 / 637

Let's proceed to step 6:
637 goes into 1367 2 times with a remainder of 93.
Use 2 as the next digit of our solution. 
Result so far: 912.0
If we take 1274 away from 1367, we end up with 93.
Take the next digit (4) from the dividend and append it to 93, then repeat: 934 / 637

On to step 7:
When dividing 934 by 637, we get 1 with a remainder of 297.
Record the quotient 1 as the next digit in the result. 
Result so far: 9121.0
If we take 637 away from 934, we end up with 297.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2970, and continue the process.

Step 8:
2970 divided by 637 is 4 with a remainder of 422.
Use 4 as the next digit of our solution. 
Result so far: 9121.4
If we take 2548 away from 2970, we end up with 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

Going ahead to step 9:
If we divide 4220 by 637, we get 6 and a remainder of 398.
Use 6 as the next digit of our solution. 
Result so far: 9121.46
The remainder is 398 after subtracting 3822 from 4220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Moving on to step 10:
The number 637 fits into 3980 6 times, leaving a remainder of 158.
Use 6 as the next digit of our solution. 
Result so far: 9121.466
If we subtract 3822 from 3980, we get 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1580, and continue the process.

The quotient of the division is 9121.466, and the remainder is 0.0158.