0.04566210...(8-digit repeat)
Step-by-step explanation:
The quotient of 6 ÷ 131.4 is shown in the attachment. The remainder at the bottom matches the original dividend, so the quotient will be repeating:
The division process starts by rewriting the problem to integer division:
60/1314
(If you like, you could further reduce this to 10/219 by removing a common factor of 6 from numerator and denominator.)
At each stage, the quotient digit is multiplied by the divisor and the result subtracted from the dividend to get a new dividend. Careful attention to the vertical alignment of digits will help ensure that quotient digits have their proper place value.