We look at the division of 4638798 by 971 
We're looking to find how many times 971 goes into 4638798.

Going ahead to step 1:
4 divided by 971 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 971

Going ahead to step 2:
The number 971 fits into 46 0 times, leaving a remainder of 46.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 46 and we're left with 46.
Fetch the next digit (3) from the dividend, attach it to 46 and continue: 463 / 971

On to step 3:
The number 971 fits into 463 0 times, leaving a remainder of 463.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 463, we get 463.
Include the next digit (8) from the dividend after 463, then repeat: 4638 / 971

Let's proceed to step 4:
971 can be fit into 4638 4 times, resulting in a remainder of 754.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 3884 from 4638 and we're left with 754.
Grab the next digit (7) from the dividend, add it to 754, then carry on: 7547 / 971

Step 5:
The number 971 fits into 7547 7 times, leaving a remainder of 750.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
If we subtract 6797 from 7547, we get 750.
Include the next digit (9) from the dividend after 750, then repeat: 7509 / 971

On to step 6:
971 goes into 7509 7 times with a remainder of 712.
The number 7 becomes the next digit in our result. 
Result so far: 477.0
If we subtract 6797 from 7509, we get 712.
Take the next digit (8) from the dividend and append it to 712, then repeat: 7128 / 971

On to step 7:
971 can be fit into 7128 7 times, resulting in a remainder of 331.
The number 7 becomes the next digit in our result. 
Result so far: 4777.0
Subtracting 6797 from 7128 leaves us with 331.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3310, and continue the process.

Going ahead to step 8:
The number 971 fits into 3310 3 times, leaving a remainder of 397.
The number 3 becomes the next digit in our result. 
Result so far: 4777.3
The remainder is 397 after subtracting 2913 from 3310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Let's proceed to step 9:
971 goes into 3970 4 times with a remainder of 86.
Put 4 as the next digit of the answer. 
Result so far: 4777.34
If we subtract 3884 from 3970, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 10:
The number 971 fits into 860 0 times, leaving a remainder of 860.
Put 0 as the next digit of the answer. 
Result so far: 4777.34
If we take 0 away from 860, we end up with 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8600, and continue the process.

On to step 11:
971 can be fit into 8600 8 times, resulting in a remainder of 832.
Use 8 as the next digit of our solution. 
Result so far: 4777.3408
Deduct 7768 from 8600 and we're left with 832.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8320, and continue the process.

Advancing to step 12:
The number 971 fits into 8320 8 times, leaving a remainder of 552.
Record the quotient 8 as the next digit in the result. 
Result so far: 4777.34088
If we take 7768 away from 8320, we end up with 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

Our division results in 4777.34088 with a remaining 0.000552.