We're dividing 6437324 by 997 
We want to divide 6437324 by 997.

Step 1:
The number 997 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 997

Let's proceed to step 2:
If we divide 64 by 997, we get 0 and a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Include the next digit (3) from the dividend after 64, then repeat: 643 / 997

On to step 3:
997 can be fit into 643 0 times, resulting in a remainder of 643.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 643 to get 643.
Take the next digit (7) from the dividend and append it to 643, then repeat: 6437 / 997

On to step 4:
When dividing 6437 by 997, we get 6 with a remainder of 455.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 5982 from 6437 leaves us with 455.
Grab the next digit (3) from the dividend, add it to 455, then carry on: 4553 / 997

Step 5:
The number 997 fits into 4553 4 times, leaving a remainder of 565.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Deduct 3988 from 4553 and we're left with 565.
Take the next digit (2) from the dividend and append it to 565, then repeat: 5652 / 997

Let's proceed to step 6:
5652 divided by 997 is 5 with a remainder of 667.
Write down 5 as next digit of the result. 
Result so far: 645.0
If we take 4985 away from 5652, we end up with 667.
Include the next digit (4) from the dividend after 667, then repeat: 6674 / 997

Let's proceed to step 7:
997 can be fit into 6674 6 times, resulting in a remainder of 692.
Record the quotient 6 as the next digit in the result. 
Result so far: 6456.0
Subtracting 5982 from 6674 leaves us with 692.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6920, and continue the process.

Advancing to step 8:
The number 997 fits into 6920 6 times, leaving a remainder of 938.
The number 6 becomes the next digit in our result. 
Result so far: 6456.6
The remainder is 938 after subtracting 5982 from 6920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9380, and continue the process.

Let's proceed to step 9:
997 goes into 9380 9 times with a remainder of 407.
Record the quotient 9 as the next digit in the result. 
Result so far: 6456.69
If we subtract 8973 from 9380, we get 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Let's proceed to step 10:
If we divide 4070 by 997, we get 4 and a remainder of 82.
Use 4 as the next digit of our solution. 
Result so far: 6456.694
The remainder is 82 after subtracting 3988 from 4070.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 11:
When dividing 820 by 997, we get 0 with a remainder of 820.
Record the quotient 0 as the next digit in the result. 
Result so far: 6456.694
If we take 0 away from 820, we end up with 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8200, and continue the process.

Advancing to step 12:
When dividing 8200 by 997, we get 8 with a remainder of 224.
Record the quotient 8 as the next digit in the result. 
Result so far: 6456.69408
Deduct 7976 from 8200 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.

Advancing to step 13:
2240 divided by 997 is 2 with a remainder of 246.
The next digit of our result is 2. 
Result so far: 6456.694082
If we subtract 1994 from 2240, we get 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

On to step 14:
The number 997 fits into 2460 2 times, leaving a remainder of 466.
Write down 2 as next digit of the result. 
Result so far: 6456.6940822
The remainder is 466 after subtracting 1994 from 2460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Our division results in 6456.6940822 with a remaining 4.66e-06.