We're dividing 370 by 59 
We want to figure out the number of times 370 can be divided by 59.

Going ahead to step 1:
59 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 59

Moving on to step 2:
37 divided by 59 is 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Bring next digit (0) of the dividend behind the 37 and repeat the process: 370 / 59

Step 3:
If we divide 370 by 59, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 354 from 370, we 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.

Moving on to step 4:
59 can be fit into 160 2 times, resulting in a remainder of 42.
The next digit of our result is 2. 
Result so far: 6.2
Subtract 118 from 160 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 5:
The number 59 fits into 420 7 times, leaving a remainder of 7.
The next digit of our result is 7. 
Result so far: 6.27
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.

Let's proceed to step 6:
59 can be fit into 70 1 times, resulting in a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 6.271
The remainder is 11 after subtracting 59 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
59 can be fit into 110 1 times, resulting in a remainder of 51.
Write down 1 as next digit of the result. 
Result so far: 6.2711
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.

The final outcome is 6.2711, with a leftover of 0.00051.