106745 ÷ 19 
Our goal is to divide 106745 by 19.

Moving on to step 1:
19 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 19

Advancing to step 2:
The number 19 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 19

Going ahead to step 3:
The number 19 fits into 106 5 times, leaving a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 95 away from 106, we end up with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 19

Let's proceed to step 4:
19 goes into 117 6 times with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 56.0
If we take 114 away from 117, we end up with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 19

Going ahead to step 5:
19 goes into 34 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 561.0
If we take 19 away from 34, we end up with 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 19

Going ahead to step 6:
When dividing 155 by 19, we get 8 with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 5618.0
The remainder is 3 after subtracting 152 from 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
When dividing 30 by 19, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 5618.1
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
If we divide 110 by 19, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 5618.15
If we subtract 95 from 110, we 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.

Advancing to step 9:
19 goes into 150 7 times with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 5618.157
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
When dividing 170 by 19, we get 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 5618.1578
Subtracting 152 from 170 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
If we divide 180 by 19, we get 9 and a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 5618.15789
If we take 171 away from 180, we end up 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 12:
When dividing 90 by 19, we get 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 5618.157894
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.

Advancing to step 13:
140 divided by 19 is 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 5618.1578947
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.

Let's proceed to step 14:
When dividing 70 by 19, we get 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 5618.15789473
Subtracting 57 from 70 leaves us 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.

In conclusion, the division gives 5618.15789473 with a balance of 1.3e-08.