Question

what do the 7 and 1 represent in calebs work? 43 tens divided by 6 is? with a remainder of?.
$\begin{array}{r} 7\\ 6enclose{longdiv} {438}\\ -42\\ hline 1end{array}$

Explanation:

Step1: Analyze the division of 43 tens by 6

43 tens is 430, but we can also think in terms of place value. Here, we are looking at the division of the tens place. 43 divided by 6: we find how many times 6 goes into 43. $6\times7 = 42$, which is less than 43.

Step2: Find the remainder

Subtract 42 from 43: $43 - 42 = 1$. So when 43 tens (or just 43 in the tens place context) is divided by 6, the quotient is 7 and the remainder is 1.

Answer:

43 tens divided by 6 is 7 (tens) with a remainder of 1 (ten, or in the context of the division, 1 ten which will be carried over to the ones place for further division, but for the remainder here, it's 1). So the first blank is 7, the second blank is 1.