We look at the division of 974766 by 59 
Our goal is to divide 974766 by 59.

On to 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
Subtracting 0 from 9 leaves us with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 59

Moving on to step 2:
When dividing 97 by 59, we get 1 with a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 59 from 97 to get 38.
Append the next digit (4) from the dividend to 38 and continue with: 384 / 59

Going ahead to step 3:
384 divided by 59 is 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 354 from 384 to get 30.
Include the next digit (7) from the dividend after 30, then repeat: 307 / 59

On to step 4:
When dividing 307 by 59, we get 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 165.0
Deduct 295 from 307 and we're left with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 59

Advancing to step 5:
When dividing 126 by 59, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 1652.0
The remainder is 8 after subtracting 118 from 126.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 59

Step 6:
59 can be fit into 86 1 times, resulting in a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 16521.0
If we take 59 away from 86, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
The number 59 fits into 270 4 times, leaving a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 16521.4
Deduct 236 from 270 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
59 can be fit into 340 5 times, resulting in a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 16521.45
If we subtract 295 from 340, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 9:
450 divided by 59 is 7 with a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 16521.457
Subtracting 413 from 450 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 10:
The number 59 fits into 370 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 16521.4576
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.

Let's proceed to step 11:
When dividing 160 by 59, we get 2 with a remainder of 42.
The next digit of our result is 2. 
Result so far: 16521.45762
The remainder is 42 after subtracting 118 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 12:
59 goes into 420 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 16521.457627
Subtract 413 from 420 to 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.

Advancing to step 13:
When dividing 70 by 59, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 16521.4576271
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 14:
59 goes into 110 1 times with a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 16521.45762711
Subtract 59 from 110 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 16521.45762711 with a balance of 5.1e-08.