561361 ÷ 59 
Our goal is to divide 561361 by 59.

Let's proceed to step 1:
When dividing 5 by 59, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 59

Moving on to step 2:
59 goes into 56 0 times with a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Take the next digit (1) from the dividend and append it to 56, then repeat: 561 / 59

Let's proceed to step 3:
If we divide 561 by 59, we get 9 and a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 531 from 561 to get 30.
Take the next digit (3) from the dividend and append it to 30, then repeat: 303 / 59

On to step 4:
When dividing 303 by 59, we get 5 with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 95.0
Deduct 295 from 303 and we're left with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 59

Going ahead to step 5:
When dividing 86 by 59, we get 1 with a remainder of 27.
The next digit of our result is 1. 
Result so far: 951.0
The remainder is 27 after subtracting 59 from 86.
Append the next digit (1) from the dividend to 27 and continue with: 271 / 59

Let's proceed to step 6:
The number 59 fits into 271 4 times, leaving a remainder of 35.
The number 4 becomes the next digit in our result. 
Result so far: 9514.0
Subtracting 236 from 271 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 7:
59 goes into 350 5 times with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 9514.5
If we take 295 away from 350, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
59 goes into 550 9 times with a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 9514.59
Deduct 531 from 550 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
The number 59 fits into 190 3 times, leaving a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 9514.593
Deduct 177 from 190 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 10:
59 can be fit into 130 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 9514.5932
The remainder is 12 after subtracting 118 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
When dividing 120 by 59, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 9514.59322
If we take 118 away from 120, we end up 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.

Our division results in 9514.59322 with a remaining 2e-06.