Divide 7 into the first two digits: 4*7=28 (4 is the first digit of the answer); 32-28=4; combine (carry over) 4 with the next digit to make 47. 6*7=42 (6 is the next digit of the answer), the nearest we can get to 47 without exceeding it. 47-42=5, carry over and combine with the last digit 8 to make 58. The last digit of the answer is 8 (because 8*7=56, with a remainder of 2. So up to now we have the quotient 468, so 7*468=3276. And the remainder is 2 which makes 3278.
To go further we place a decimal point after 468 and continue dividing, bringing down a zero to combine with the carryover. The first digit after the decimal point in the answer is 2 because 2*7=14, the nearest we can get to 20, so there's a carryover of 6 combined with another zero to make 60. And so on. The decimal recurs and never comes to an end: 468.285714285714...