We look at the division of 7190 by 51 
We want to divide 7190 by 51.

Step 1:
The number 51 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 51

Let's proceed to step 2:
51 goes into 71 1 times with a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 51 from 71, we get 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 51

Moving on to step 3:
209 divided by 51 is 4 with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Deduct 204 from 209 and we're left with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 51

On to step 4:
If we divide 50 by 51, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 140.0
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 5:
If we divide 500 by 51, we get 9 and a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 140.9
If we subtract 459 from 500, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 6:
If we divide 410 by 51, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 140.98
Subtracting 408 from 410 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.

Step 7:
51 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 140.98
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
If we divide 200 by 51, we get 3 and a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 140.9803
Subtracting 153 from 200 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 9:
If we divide 470 by 51, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 140.98039
The remainder is 11 after subtracting 459 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
51 goes into 110 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 140.980392
If we subtract 102 from 110, 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.

Let's proceed to step 11:
When dividing 80 by 51, we get 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 140.9803921
If we subtract 51 from 80, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
51 can be fit into 290 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 140.98039215
Deduct 255 from 290 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 140.98039215 with a remaining 3.5e-08.