We're dividing 7187192 by 971 
Our goal is to divide 7187192 by 971.

Step 1:
The number 971 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 971

Going ahead to step 2:
971 can be fit into 71 0 times, resulting in a remainder of 71.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Fetch the next digit (8) from the dividend, attach it to 71 and continue: 718 / 971

Advancing to step 3:
If we divide 718 by 971, we get 0 and a remainder of 718.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 718 leaves us with 718.
Append the next digit (7) from the dividend to 718 and continue with: 7187 / 971

Advancing to step 4:
971 goes into 7187 7 times with a remainder of 390.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 390 after subtracting 6797 from 7187.
Take the next digit (1) from the dividend and append it to 390, then repeat: 3901 / 971

Going ahead to step 5:
The number 971 fits into 3901 4 times, leaving a remainder of 17.
Put 4 as the next digit of the answer. 
Result so far: 74.0
If we take 3884 away from 3901, we end up with 17.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 971

Going ahead to step 6:
The number 971 fits into 179 0 times, leaving a remainder of 179.
Use 0 as the next digit of our solution. 
Result so far: 740.0
Deduct 0 from 179 and we're left with 179.
Bring next digit (2) of the dividend behind the 179 and repeat the process: 1792 / 971

Step 7:
The number 971 fits into 1792 1 times, leaving a remainder of 821.
Write down 1 as next digit of the result. 
Result so far: 7401.0
If we subtract 971 from 1792, we get 821.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8210, and continue the process.

Let's proceed to step 8:
The number 971 fits into 8210 8 times, leaving a remainder of 442.
The number 8 becomes the next digit in our result. 
Result so far: 7401.8
Subtract 7768 from 8210 to get 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4420, and continue the process.

Moving on to step 9:
4420 divided by 971 is 4 with a remainder of 536.
Use 4 as the next digit of our solution. 
Result so far: 7401.84
If we take 3884 away from 4420, we end up with 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Step 10:
971 can be fit into 5360 5 times, resulting in a remainder of 505.
Use 5 as the next digit of our solution. 
Result so far: 7401.845
Subtracting 4855 from 5360 leaves us with 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Going ahead to step 11:
971 goes into 5050 5 times with a remainder of 195.
The number 5 becomes the next digit in our result. 
Result so far: 7401.8455
Subtract 4855 from 5050 to get 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

Our division results in 7401.8455 with a remaining 0.00195.