971953 ÷ 19 
We're looking to find how many times 19 goes into 971953.

Let's proceed to step 1:
If we divide 9 by 19, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in 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

Moving on to step 2:
19 goes into 97 5 times with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 95 away from 97, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 19

On to step 3:
19 goes into 21 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 51.0
If we subtract 19 from 21, we get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 19

Moving on to step 4:
19 can be fit into 29 1 times, resulting in a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 511.0
If we take 19 away from 29, we end up with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 19

Let's proceed to step 5:
105 divided by 19 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5115.0
If we subtract 95 from 105, we get 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 19

Moving on to step 6:
When dividing 103 by 19, we get 5 with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 51155.0
The remainder is 8 after subtracting 95 from 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
80 divided by 19 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 51155.4
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 51155.42
Subtract 38 from 40 to 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.

Moving on to step 9:
When dividing 20 by 19, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 51155.421
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.

On to step 10:
19 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 51155.421
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.

Step 11:
If we divide 100 by 19, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 51155.42105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 51155.421052
Subtracting 38 from 50 leaves us 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 13:
19 goes into 120 6 times with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 51155.4210526
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.

Moving on to step 14:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 51155.42105263
If we take 57 away from 60, we end up 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.

Our division results in 51155.42105263 with a remaining 3e-09.