Answer :
To divide [tex]$697$[/tex] by [tex]$182$[/tex], we can follow these steps:
1. First, determine how many whole times [tex]$182$[/tex] goes into [tex]$697$[/tex]. We see that:
[tex]$$182 \times 3 = 546 \quad \text{and} \quad 182 \times 4 = 728.$$[/tex]
Since [tex]$728$[/tex] is greater than [tex]$697$[/tex], the divisor [tex]$182$[/tex] goes into [tex]$697$[/tex] exactly [tex]$3$[/tex] times.
2. Next, compute the remainder by subtracting the product of the divisor and the quotient from the dividend:
[tex]$$697 - (182 \times 3) = 697 - 546 = 151.$$[/tex]
Thus, the division of [tex]$697$[/tex] by [tex]$182$[/tex] gives a quotient of [tex]$3$[/tex] with a remainder of [tex]$151$[/tex], which matches option C:
[tex]$$\boxed{3\ \text{r }151.}$$[/tex]
1. First, determine how many whole times [tex]$182$[/tex] goes into [tex]$697$[/tex]. We see that:
[tex]$$182 \times 3 = 546 \quad \text{and} \quad 182 \times 4 = 728.$$[/tex]
Since [tex]$728$[/tex] is greater than [tex]$697$[/tex], the divisor [tex]$182$[/tex] goes into [tex]$697$[/tex] exactly [tex]$3$[/tex] times.
2. Next, compute the remainder by subtracting the product of the divisor and the quotient from the dividend:
[tex]$$697 - (182 \times 3) = 697 - 546 = 151.$$[/tex]
Thus, the division of [tex]$697$[/tex] by [tex]$182$[/tex] gives a quotient of [tex]$3$[/tex] with a remainder of [tex]$151$[/tex], which matches option C:
[tex]$$\boxed{3\ \text{r }151.}$$[/tex]
