We're dividing 590101 by 61 
Let's see how many times 61 fits into 590101.

Step 1:
61 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 61

Going ahead to step 2:
61 goes into 59 0 times with a remainder of 59.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 59 to get 59.
Grab the next digit (0) from the dividend, add it to 59, then carry on: 590 / 61

On to step 3:
When dividing 590 by 61, we get 9 with a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 41 after subtracting 549 from 590.
Grab the next digit (1) from the dividend, add it to 41, then carry on: 411 / 61

Going ahead to step 4:
The number 61 fits into 411 6 times, leaving a remainder of 45.
Use 6 as the next digit of our solution. 
Result so far: 96.0
Deduct 366 from 411 and we're left with 45.
Append the next digit (0) from the dividend to 45 and continue with: 450 / 61

Let's proceed to step 5:
61 can be fit into 450 7 times, resulting in a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 967.0
If we take 427 away from 450, we end up with 23.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 61

Advancing to step 6:
The number 61 fits into 231 3 times, leaving a remainder of 48.
Use 3 as the next digit of our solution. 
Result so far: 9673.0
The remainder is 48 after subtracting 183 from 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 7:
61 can be fit into 480 7 times, resulting in a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 9673.7
The remainder is 53 after subtracting 427 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 8:
When dividing 530 by 61, we get 8 with a remainder of 42.
The next digit of our result is 8. 
Result so far: 9673.78
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 9:
When dividing 420 by 61, we get 6 with a remainder of 54.
Record the quotient 6 as the next digit in the result. 
Result so far: 9673.786
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.

Let's proceed to step 10:
If we divide 540 by 61, we get 8 and a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 9673.7868
Subtracting 488 from 540 leaves us 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.

Moving on to step 11:
61 can be fit into 520 8 times, resulting in a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 9673.78688
If we subtract 488 from 520, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 9673.78688 with a remaining 3.2e-05.