We're dividing 4458569 by 971 
Let's see how many times 971 fits into 4458569.

On to step 1:
971 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 971

Let's proceed to step 2:
When dividing 44 by 971, we get 0 with a remainder of 44.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 44 to get 44.
Take the next digit (5) from the dividend and append it to 44, then repeat: 445 / 971

Step 3:
When dividing 445 by 971, we get 0 with a remainder of 445.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 445 after subtracting 0 from 445.
Grab the next digit (8) from the dividend, add it to 445, then carry on: 4458 / 971

Advancing to step 4:
971 goes into 4458 4 times with a remainder of 574.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 3884 from 4458 and we're left with 574.
Grab the next digit (5) from the dividend, add it to 574, then carry on: 5745 / 971

On to step 5:
If we divide 5745 by 971, we get 5 and a remainder of 890.
Use 5 as the next digit of our solution. 
Result so far: 45.0
If we take 4855 away from 5745, we end up with 890.
Take the next digit (6) from the dividend and append it to 890, then repeat: 8906 / 971

Going ahead to step 6:
8906 divided by 971 is 9 with a remainder of 167.
Use 9 as the next digit of our solution. 
Result so far: 459.0
If we take 8739 away from 8906, we end up with 167.
Append the next digit (9) from the dividend to 167 and continue with: 1679 / 971

Moving on to step 7:
When dividing 1679 by 971, we get 1 with a remainder of 708.
Put 1 as the next digit of the answer. 
Result so far: 4591.0
If we take 971 away from 1679, we end up with 708.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7080, and continue the process.

Step 8:
If we divide 7080 by 971, we get 7 and a remainder of 283.
Write down 7 as next digit of the result. 
Result so far: 4591.7
Subtracting 6797 from 7080 leaves us with 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

On to step 9:
If we divide 2830 by 971, we get 2 and a remainder of 888.
Use 2 as the next digit of our solution. 
Result so far: 4591.72
Deduct 1942 from 2830 and we're left with 888.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8880, and continue the process.

Step 10:
If we divide 8880 by 971, we get 9 and a remainder of 141.
Write down 9 as next digit of the result. 
Result so far: 4591.729
The remainder is 141 after subtracting 8739 from 8880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

On to step 11:
If we divide 1410 by 971, we get 1 and a remainder of 439.
Use 1 as the next digit of our solution. 
Result so far: 4591.7291
The remainder is 439 after subtracting 971 from 1410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4390, and continue the process.

Step 12:
971 can be fit into 4390 4 times, resulting in a remainder of 506.
Put 4 as the next digit of the answer. 
Result so far: 4591.72914
Deduct 3884 from 4390 and we're left with 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

Step 13:
971 can be fit into 5060 5 times, resulting in a remainder of 205.
Write down 5 as next digit of the result. 
Result so far: 4591.729145
If we take 4855 away from 5060, we end up with 205.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2050, and continue the process.

Moving on to step 14:
971 can be fit into 2050 2 times, resulting in a remainder of 108.
Record the quotient 2 as the next digit in the result. 
Result so far: 4591.7291452
Subtract 1942 from 2050 to get 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Advancing to step 15:
When dividing 1080 by 971, we get 1 with a remainder of 109.
Record the quotient 1 as the next digit in the result. 
Result so far: 4591.72914521
Subtract 971 from 1080 to get 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

Our division results in 4591.72914521 with a remaining 1.09e-07.