We look at the division of 377114 by 59 
Our goal is to divide 377114 by 59.

Let's proceed to step 1:
59 goes into 3 0 times with 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.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 59

Moving on to step 2:
37 divided by 59 is 0 with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Grab the next digit (7) from the dividend, add it to 37, then carry on: 377 / 59

Step 3:
59 can be fit into 377 6 times, resulting in a remainder of 23.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 354 from 377 and we're left with 23.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 59

Moving on to step 4:
When dividing 231 by 59, we get 3 with a remainder of 54.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
If we take 177 away from 231, we end up with 54.
Append the next digit (1) from the dividend to 54 and continue with: 541 / 59

Let's proceed to step 5:
541 divided by 59 is 9 with a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 639.0
The remainder is 10 after subtracting 531 from 541.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 59

On to step 6:
When dividing 104 by 59, we get 1 with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 6391.0
Deduct 59 from 104 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 7:
When dividing 450 by 59, we get 7 with a remainder of 37.
The next digit of our result is 7. 
Result so far: 6391.7
The remainder is 37 after subtracting 413 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 8:
59 can be fit into 370 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 6391.76
Subtracting 354 from 370 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
160 divided by 59 is 2 with a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 6391.762
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.

Advancing to step 10:
The number 59 fits into 420 7 times, leaving a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 6391.7627
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 11:
If we divide 70 by 59, we get 1 and a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 6391.76271
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 12:
When dividing 110 by 59, we get 1 with a remainder of 51.
Put 1 as the next digit of the answer. 
Result so far: 6391.762711
If we subtract 59 from 110, we 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 6391.762711 with a balance of 5.1e-06.