149101 ÷ 19 
We're looking to find how many times 19 goes into 149101.

Let's proceed to step 1:
19 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 19

Advancing to step 2:
When dividing 14 by 19, we get 0 with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 19

Advancing to step 3:
19 goes into 149 7 times with a remainder of 16.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 133 from 149 and we're left with 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 19

On to step 4:
The number 19 fits into 161 8 times, leaving a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
Subtracting 152 from 161 leaves us with 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 19

Advancing to step 5:
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: 784.0
Subtract 76 from 90 to get 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 19

Let's proceed to step 6:
19 can be fit into 141 7 times, resulting in a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 7847.0
If we take 133 away from 141, 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.

Let's proceed to step 7:
80 divided by 19 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 7847.4
Deduct 76 from 80 and we're left 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.

Step 8:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 7847.42
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.

Going ahead to step 9:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 7847.421
If we take 19 away from 20, we end up 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 10:
If we divide 10 by 19, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 7847.421
Subtracting 0 from 10 leaves us with 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:
100 divided by 19 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 7847.42105
Subtracting 95 from 100 leaves us with 5.
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:
50 divided by 19 is 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 7847.421052
Deduct 38 from 50 and we're left 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.

Going ahead to step 13:
120 divided by 19 is 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 7847.4210526
The remainder is 6 after subtracting 114 from 120.
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 goes into 60 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 7847.42105263
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 7847.42105263 with a remainder of 3e-09.