Let's divide 970890 by 19
We're looking to find how many times 19 goes into 970890.

On to step 1:
If we divide 9 by 19, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 19

On to step 2:
97 divided by 19 is 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 95 away from 97, we end up with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 19

Moving on to step 3:
20 divided by 19 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 51.0
If we take 19 away from 20, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 19

Advancing to step 4:
When dividing 18 by 19, we get 0 with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 510.0
Subtracting 0 from 18 leaves us with 18.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 19

Moving on to step 5:
If we divide 189 by 19, we get 9 and a remainder of 18.
The next digit of our result is 9. 
Result so far: 5109.0
If we take 171 away from 189, we end up with 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 19

On to step 6:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 51099.0
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.

Step 7:
When dividing 90 by 19, we get 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 51099.4
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
The number 19 fits into 140 7 times, leaving a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 51099.47
Deduct 133 from 140 and we're left 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.

Advancing to step 9:
The number 19 fits into 70 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 51099.473
Subtract 57 from 70 to get 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 10:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 51099.4736
If we subtract 114 from 130, 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.

Going ahead to step 11:
19 goes into 160 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 51099.47368
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
19 goes into 80 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 51099.473684
The remainder is 4 after subtracting 76 from 80.
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 13:
40 divided by 19 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 51099.4736842
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
20 divided by 19 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 51099.47368421
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.

Our division results in 51099.47368421 with a remaining 1e-09.