We look at the division of 437376 by 19 
Let's see how many times 19 fits into 437376.

Step 1:
19 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 19

Going ahead to step 2:
When dividing 43 by 19, we get 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 38 from 43 leaves us with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 19

Moving on to step 3:
57 divided by 19 is 3 with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 23.0
If we take 57 away from 57, we end up with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 19

Let's proceed to step 4:
When dividing 3 by 19, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 230.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 19

Advancing to step 5:
19 can be fit into 37 1 times, resulting in a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 2301.0
The remainder is 18 after subtracting 19 from 37.
Include the next digit (6) from the dividend after 18, then repeat: 186 / 19

Going ahead to step 6:
When dividing 186 by 19, we get 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 23019.0
Subtract 171 from 186 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
If we divide 150 by 19, we get 7 and a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 23019.7
Deduct 133 from 150 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
If we divide 170 by 19, we get 8 and a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 23019.78
Subtract 152 from 170 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
When dividing 180 by 19, we get 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 23019.789
Subtracting 171 from 180 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
If we divide 90 by 19, we get 4 and a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 23019.7894
Subtract 76 from 90 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 11:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 23019.78947
If we subtract 133 from 140, 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.

Going ahead to step 12:
19 goes into 70 3 times with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 23019.789473
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 13:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 23019.7894736
If we take 114 away from 130, we end up 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.

Let's proceed to step 14:
The number 19 fits into 160 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 23019.78947368
Deduct 152 from 160 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 23019.78947368, and the remainder is 8e-09.