Let's divide 638597 by 61
We're looking to find how many times 61 goes into 638597.

Moving on to step 1:
61 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 61

Step 2:
63 divided by 61 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 61 from 63 to get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 61

Advancing to step 3:
61 goes into 28 0 times with a remainder of 28.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 28 leaves us with 28.
Grab the next digit (5) from the dividend, add it to 28, then carry on: 285 / 61

Let's proceed to step 4:
61 goes into 285 4 times with a remainder of 41.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
Deduct 244 from 285 and we're left with 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 61

Step 5:
If we divide 419 by 61, we get 6 and a remainder of 53.
Put 6 as the next digit of the answer. 
Result so far: 1046.0
Subtract 366 from 419 to get 53.
Include the next digit (7) from the dividend after 53, then repeat: 537 / 61

Let's proceed to step 6:
61 goes into 537 8 times with a remainder of 49.
Record the quotient 8 as the next digit in the result. 
Result so far: 10468.0
Subtracting 488 from 537 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 7:
61 can be fit into 490 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 10468.8
Deduct 488 from 490 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
When dividing 20 by 61, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 10468.8
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
The number 61 fits into 200 3 times, leaving a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 10468.803
If we take 183 away from 200, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 10:
If we divide 170 by 61, we get 2 and a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 10468.8032
Subtracting 122 from 170 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 11:
61 can be fit into 480 7 times, resulting in a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 10468.80327
Deduct 427 from 480 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 12:
The number 61 fits into 530 8 times, leaving a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 10468.803278
If we take 488 away from 530, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 13:
When dividing 420 by 61, we get 6 with a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 10468.8032786
Subtract 366 from 420 to 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.

Advancing to step 14:
540 divided by 61 is 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 10468.80327868
If we take 488 away from 540, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 10468.80327868 with a balance of 5.2e-08.