We look at the division of 371003 by 59 
We're looking to find how many times 59 goes into 371003.

On to step 1:
If we divide 3 by 59, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 59

Step 2:
59 goes into 37 0 times with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Append the next digit (1) from the dividend to 37 and continue with: 371 / 59

Advancing to step 3:
59 goes into 371 6 times with a remainder of 17.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 354 from 371 to get 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 59

Going ahead to step 4:
59 goes into 170 2 times with a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we subtract 118 from 170, we get 52.
Take the next digit (0) from the dividend and append it to 52, then repeat: 520 / 59

Step 5:
520 divided by 59 is 8 with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 628.0
The remainder is 48 after subtracting 472 from 520.
Include the next digit (3) from the dividend after 48, then repeat: 483 / 59

Let's proceed to step 6:
59 can be fit into 483 8 times, resulting in a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 6288.0
Subtract 472 from 483 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
59 goes into 110 1 times with a remainder of 51.
The next digit of our result is 1. 
Result so far: 6288.1
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.

Moving on to step 8:
The number 59 fits into 510 8 times, leaving a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 6288.18
Deduct 472 from 510 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 9:
59 can be fit into 380 6 times, resulting in a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 6288.186
Subtracting 354 from 380 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 10:
59 can be fit into 260 4 times, resulting in a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 6288.1864
The remainder is 24 after subtracting 236 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
240 divided by 59 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 6288.18644
Deduct 236 from 240 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 6288.18644 with a remaining 4e-06.