We look at the division of 594658 by 61 
We're looking to find how many times 61 goes into 594658.

Step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 61

Advancing to step 2:
The number 61 fits into 59 0 times, leaving a remainder of 59.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 59, we get 59.
Append the next digit (4) from the dividend to 59 and continue with: 594 / 61

Step 3:
If we divide 594 by 61, we get 9 and a remainder of 45.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 549 from 594 to get 45.
Fetch the next digit (6) from the dividend, attach it to 45 and continue: 456 / 61

Step 4:
456 divided by 61 is 7 with a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 97.0
Subtract 427 from 456 to get 29.
Append the next digit (5) from the dividend to 29 and continue with: 295 / 61

On to step 5:
The number 61 fits into 295 4 times, leaving a remainder of 51.
The next digit of our result is 4. 
Result so far: 974.0
If we take 244 away from 295, we end up with 51.
Fetch the next digit (8) from the dividend, attach it to 51 and continue: 518 / 61

Moving on to step 6:
61 can be fit into 518 8 times, resulting in a remainder of 30.
The next digit of our result is 8. 
Result so far: 9748.0
Subtract 488 from 518 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.

On to step 7:
61 goes into 300 4 times with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 9748.4
The remainder is 56 after subtracting 244 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
61 can be fit into 560 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 9748.49
Subtracting 549 from 560 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
61 can be fit into 110 1 times, resulting in a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 9748.491
If we take 61 away from 110, we end up 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.

Going ahead to step 10:
The number 61 fits into 490 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 9748.4918
Subtracting 488 from 490 leaves us 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.

Step 11:
61 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 9748.4918
If we subtract 0 from 20, we 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.

Let's proceed to step 12:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 9748.491803
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.

Step 13:
When dividing 170 by 61, we get 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 9748.4918032
If we take 122 away from 170, we end up 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 14:
480 divided by 61 is 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 9748.49180327
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.

The final result is 9748.49180327 with a remainder of 5.3e-08.