556261 divided by 59 
We're looking to find how many times 59 goes into 556261.

Step 1:
5 divided by 59 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 59

Moving on to step 2:
If we divide 55 by 59, we get 0 and a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Grab the next digit (6) from the dividend, add it to 55, then carry on: 556 / 59

Going ahead to step 3:
556 divided by 59 is 9 with a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 531 from 556 leaves us with 25.
Bring next digit (2) of the dividend behind the 25 and repeat the process: 252 / 59

Going ahead to step 4:
59 can be fit into 252 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 94.0
If we subtract 236 from 252, we get 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 59

Let's proceed to step 5:
59 can be fit into 166 2 times, resulting in a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 942.0
Subtracting 118 from 166 leaves us with 48.
Take the next digit (1) from the dividend and append it to 48, then repeat: 481 / 59

Let's proceed to step 6:
If we divide 481 by 59, we get 8 and a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 9428.0
The remainder is 9 after subtracting 472 from 481.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
The number 59 fits into 90 1 times, leaving a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 9428.1
Subtract 59 from 90 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 8:
59 goes into 310 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 9428.15
The remainder is 15 after subtracting 295 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
59 can be fit into 150 2 times, resulting in a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 9428.152
If we take 118 away from 150, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
59 goes into 320 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 9428.1525
Deduct 295 from 320 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 11:
When dividing 250 by 59, we get 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 9428.15254
If we subtract 236 from 250, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
The number 59 fits into 140 2 times, leaving a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 9428.152542
Subtract 118 from 140 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 13:
59 can be fit into 220 3 times, resulting in a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 9428.1525423
If we take 177 away from 220, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 14:
When dividing 430 by 59, we get 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 9428.15254237
If we subtract 413 from 430, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

After the division, we end up with 9428.15254237 and a remainder of 1.7e-08.