Step-by-step explanation:
Step 1: Create a division problem with the numbers being divided lined up one above the other.
Step 2: Divide the first digit of the dividend (917) by the divisor (7), and write the quotient (130) above the dividend.
Step 3: Multiply the divisor (7) by the quotient (130) and write the product (910) below the dividend (917).
Step 4: Subtract the product (910) from the dividend (917) and write the difference (7) below the product.
Step 5: Bring down the next digit of the dividend (917), making the next number to divide (7).
Step 6: Divide the new number by the divisor, and write the quotient, this case 0 (since 7 doesn't divides into 7) above it, and add the remainder, which is still 7.
Step 7: The remainder is the final result of the division. 917 divided by 7 is 130 with a remainder of 7, so the final answer is 130 remainder 7, this can be represented as 130 R 7.
Note: Even though it is not shown in the explanation above, to check the solution is correct, you could also multiply the quotient (130) by the divisor (7) and add the remainder (7) to get back to the dividend (917)
It's also worth to note that the final remainder could be seen as the number we couldn't divide and the quotient as the result of the division.