Answer :

To divide [tex]$436$[/tex] by [tex]$7$[/tex], we start by determining how many full groups of [tex]$7$[/tex] we can extract from [tex]$436$[/tex].

1. First, we estimate the quotient. Multiply [tex]$7$[/tex] by a number close to what you think is the quotient:
[tex]$$7 \times 62 = 434.$$[/tex]

2. Next, we see how much is left over:
[tex]$$436 - 434 = 2.$$[/tex]

3. Since [tex]$434$[/tex] is the largest multiple of [tex]$7$[/tex] that does not exceed [tex]$436$[/tex], the quotient is [tex]$62$[/tex] and the remainder is [tex]$2$[/tex].

Thus, the final answer is:
[tex]$$436 \div 7 = 62 \text{ R } 2.$$[/tex]