975366 ÷ 59 
Our goal is to divide 975366 by 59.

Step 1:
The number 59 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 59

Step 2:
The number 59 fits into 97 1 times, leaving a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 59 from 97 leaves us with 38.
Include the next digit (5) from the dividend after 38, then repeat: 385 / 59

Advancing to step 3:
59 can be fit into 385 6 times, resulting in a remainder of 31.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we subtract 354 from 385, we get 31.
Grab the next digit (3) from the dividend, add it to 31, then carry on: 313 / 59

Step 4:
59 goes into 313 5 times with a remainder of 18.
Use 5 as the next digit of our solution. 
Result so far: 165.0
If we subtract 295 from 313, we get 18.
Bring next digit (6) of the dividend behind the 18 and repeat the process: 186 / 59

Let's proceed to step 5:
186 divided by 59 is 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 1653.0
If we subtract 177 from 186, we get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 59

Moving on to step 6:
When dividing 96 by 59, we get 1 with a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 16531.0
If we subtract 59 from 96, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
The number 59 fits into 370 6 times, leaving a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 16531.6
Subtract 354 from 370 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
59 can be fit into 160 2 times, resulting in a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 16531.62
Deduct 118 from 160 and we're left 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.

Step 9:
When dividing 420 by 59, we get 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 16531.627
If we subtract 413 from 420, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
The number 59 fits into 70 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 16531.6271
Subtracting 59 from 70 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.

Let's proceed to step 11:
110 divided by 59 is 1 with a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 16531.62711
Subtracting 59 from 110 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

After the division, we end up with 16531.62711 and a remainder of 5.1e-05.