Let's divide 970553 by 71
We're looking to find how many times 71 goes into 970553.

Advancing to step 1:
71 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 71

Advancing to step 2:
When dividing 97 by 71, we get 1 with a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 26 after subtracting 71 from 97.
Include the next digit (0) from the dividend after 26, then repeat: 260 / 71

Step 3:
The number 71 fits into 260 3 times, leaving a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 213 from 260 leaves us with 47.
Take the next digit (5) from the dividend and append it to 47, then repeat: 475 / 71

Advancing to step 4:
71 can be fit into 475 6 times, resulting in a remainder of 49.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
Deduct 426 from 475 and we're left with 49.
Include the next digit (5) from the dividend after 49, then repeat: 495 / 71

Going ahead to step 5:
The number 71 fits into 495 6 times, leaving a remainder of 69.
The next digit of our result is 6. 
Result so far: 1366.0
Subtracting 426 from 495 leaves us with 69.
Take the next digit (3) from the dividend and append it to 69, then repeat: 693 / 71

Moving on to step 6:
71 can be fit into 693 9 times, resulting in a remainder of 54.
Record the quotient 9 as the next digit in the result. 
Result so far: 13669.0
If we subtract 639 from 693, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 7:
71 can be fit into 540 7 times, resulting in a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 13669.7
Subtracting 497 from 540 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 8:
If we divide 430 by 71, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 13669.76
If we subtract 426 from 430, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
If we divide 40 by 71, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 13669.76
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
If we divide 400 by 71, we get 5 and a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 13669.7605
Subtracting 355 from 400 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 11:
The number 71 fits into 450 6 times, leaving a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 13669.76056
Deduct 426 from 450 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
When dividing 240 by 71, we get 3 with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 13669.760563
If we take 213 away from 240, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 13:
71 can be fit into 270 3 times, resulting in a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 13669.7605633
Subtracting 213 from 270 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 13669.7605633 and a remainder of 5.7e-07.