377059 divided by 19 
Our goal is to divide 377059 by 19.

Let's proceed to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 19

Advancing to step 2:
The number 19 fits into 37 1 times, leaving a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 18 after subtracting 19 from 37.
Include the next digit (7) from the dividend after 18, then repeat: 187 / 19

Let's proceed to step 3:
The number 19 fits into 187 9 times, leaving a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 19.0
If we take 171 away from 187, we end up with 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 19

Step 4:
160 divided by 19 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 198.0
If we take 152 away from 160, we end up with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 19

Going ahead to step 5:
19 can be fit into 85 4 times, resulting in a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 1984.0
The remainder is 9 after subtracting 76 from 85.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 19

Moving on to step 6:
19 goes into 99 5 times with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 19845.0
Subtracting 95 from 99 leaves us 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.

Going ahead to step 7:
19 can be fit into 40 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 19845.2
Subtracting 38 from 40 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
19 can be fit into 20 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 19845.21
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
19 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 19845.21
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
19 can be fit into 100 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 19845.2105
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 19845.21052
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
If we divide 120 by 19, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 19845.210526
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
19 goes into 60 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 19845.2105263
Deduct 57 from 60 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
19 goes into 30 1 times with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 19845.21052631
Subtract 19 from 30 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.

In conclusion, the division gives 19845.21052631 with a balance of 1.1e-08.