Evaluate 53.75÷6.946

To evaluate 53.75 divided by 6.946, you can use a calculator or perform long division. I'll explain how to do it using long division:

Step 1: Start by setting up the division problem. Write 53.75 as the dividend and 6.946 as the divisor.

_______
6.946 | 53.75

Step 2: Divide the first digit of the dividend (5) by the divisor (6.946). Since 5 is less than 6.946, you need to take the next digit (3) into account. So, bring down the 3 next to the quotient.

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6.946 | 53.75
-48.00
______
77

Step 3: Divide the result (48) by the divisor (6.946). This time, you need to bring down the next digit (7) next to the quotient.

_______
6.946 | 53.75
-48.00
______
77
-69.46
_______
10.54

Step 4: Divide the new result (105) by the divisor (6.946). Bring down the next digit (5) next to the quotient.

_______
6.946 | 53.75
-48.00
______
77
-69.46
_______
10.54
-6.946
_______
3.594

Step 5: Now, divide the remaining digits (359) by the divisor (6.946).

_______
6.946 | 53.75
-48.00
______
77
-69.46
_______
10.54
-6.946
_______
3.594
-3.468
_______
0.126

Step 6: Keep dividing until you either obtain the exact quotient or a desired level of precision. In this case, the decimal number continues indefinitely, but you can choose to round it to a desired number of decimal places.

Therefore, 53.75 divided by 6.946 is approximately 7.7373 (rounded to four decimal places).