We look at the division of 10374 by 59 
We want to divide 10374 by 59.

Let's proceed to step 1:
If we divide 1 by 59, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 59

On to step 2:
59 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 59

Advancing to step 3:
If we divide 103 by 59, we get 1 and a remainder of 44.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 59 from 103, we get 44.
Include the next digit (7) from the dividend after 44, then repeat: 447 / 59

On to step 4:
59 can be fit into 447 7 times, resulting in a remainder of 34.
The next digit of our result is 7. 
Result so far: 17.0
Subtract 413 from 447 to get 34.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 59

Moving on to step 5:
344 divided by 59 is 5 with a remainder of 49.
Put 5 as the next digit of the answer. 
Result so far: 175.0
The remainder is 49 after subtracting 295 from 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 6:
If we divide 490 by 59, we get 8 and a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 175.8
The remainder is 18 after subtracting 472 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
The number 59 fits into 180 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 175.83
If we subtract 177 from 180, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
30 divided by 59 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 175.83
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
59 can be fit into 300 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 175.8305
The remainder is 5 after subtracting 295 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
59 goes into 50 0 times with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 175.8305
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 11:
When dividing 500 by 59, we get 8 with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 175.830508
Subtract 472 from 500 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 12:
If we divide 280 by 59, we get 4 and a remainder of 44.
Use 4 as the next digit of our solution. 
Result so far: 175.8305084
Deduct 236 from 280 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 13:
59 can be fit into 440 7 times, resulting in a remainder of 27.
The next digit of our result is 7. 
Result so far: 175.83050847
Subtract 413 from 440 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

In conclusion, the division gives 175.83050847 with a balance of 2.7e-08.