653971 ÷ 38 
Our goal is to divide 653971 by 38.

On to step 1:
The number 38 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 38

On to step 2:
If we divide 65 by 38, we get 1 and a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 38 from 65 leaves us with 27.
Include the next digit (3) from the dividend after 27, then repeat: 273 / 38

On to step 3:
273 divided by 38 is 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 17.0
If we subtract 266 from 273, we get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 38

On to step 4:
38 goes into 79 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 172.0
Deduct 76 from 79 and we're left with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 38

Step 5:
38 goes into 37 0 times with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 1720.0
If we take 0 away from 37, we end up with 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 38

On to step 6:
38 can be fit into 371 9 times, resulting in a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 17209.0
The remainder is 29 after subtracting 342 from 371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
If we divide 290 by 38, we get 7 and a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 17209.7
Subtracting 266 from 290 leaves us 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 8:
When dividing 240 by 38, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 17209.76
Subtract 228 from 240 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
The number 38 fits into 120 3 times, leaving a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 17209.763
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
If we divide 60 by 38, we get 1 and a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 17209.7631
The remainder is 22 after subtracting 38 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
38 goes into 220 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 17209.76315
Subtract 190 from 220 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
When dividing 300 by 38, we get 7 with a remainder of 34.
The next digit of our result is 7. 
Result so far: 17209.763157
Deduct 266 from 300 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 13:
When dividing 340 by 38, we get 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 17209.7631578
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
360 divided by 38 is 9 with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 17209.76315789
Deduct 342 from 360 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 17209.76315789 with a balance of 1.8e-08.