671170 ÷ 19 
Our goal is to divide 671170 by 19.

Let's proceed to step 1:
If we divide 6 by 19, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 19

On to step 2:
The number 19 fits into 67 3 times, leaving a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 57 from 67 leaves us with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 19

Advancing to step 3:
101 divided by 19 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 35.0
If we subtract 95 from 101, we get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 19

Step 4:
If we divide 61 by 19, we get 3 and a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 353.0
Subtracting 57 from 61 leaves us with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 19

Going ahead to step 5:
19 goes into 47 2 times with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 3532.0
If we subtract 38 from 47, we get 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 19

Let's proceed to step 6:
The number 19 fits into 90 4 times, leaving a remainder of 14.
The next digit of our result is 4. 
Result so far: 35324.0
If we subtract 76 from 90, we 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.

Step 7:
When dividing 140 by 19, we get 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 35324.7
If we take 133 away from 140, we end up with 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 8:
70 divided by 19 is 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 35324.73
If we take 57 away from 70, we end up 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.

Advancing to step 9:
130 divided by 19 is 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 35324.736
The remainder is 16 after subtracting 114 from 130.
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 10:
The number 19 fits into 160 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 35324.7368
If we take 152 away from 160, we end up 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.

Step 11:
When dividing 80 by 19, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 35324.73684
If we take 76 away from 80, we end up 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.

Let's proceed to step 12:
40 divided by 19 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 35324.736842
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.

Advancing to step 13:
20 divided by 19 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 35324.7368421
Deduct 19 from 20 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
19 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 35324.7368421
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.

The final outcome is 35324.7368421, with a leftover of 1e-08.