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Answer :
We want to divide [tex]$187$[/tex] by [tex]$11$[/tex]. Here is how you can approach the long division step by step:
1. Write the dividend and divisor:
[tex]$$187 \div 11$$[/tex]
2. Look at the first two digits of the dividend. Since [tex]$11$[/tex] is greater than [tex]$1$[/tex], we consider [tex]$18$[/tex]. Determine how many times [tex]$11$[/tex] goes into [tex]$18$[/tex]. It goes in [tex]$1$[/tex] time. Write [tex]$1$[/tex] in the quotient above the [tex]$8$[/tex] of [tex]$18$[/tex].
3. Multiply the divisor by [tex]$1$[/tex]:
[tex]$$1 \times 11 = 11$$[/tex]
Write this product below [tex]$18$[/tex] and subtract:
[tex]$$18 - 11 = 7$$[/tex]
4. Bring down the next digit of the dividend ([tex]$7$[/tex]) to the right of [tex]$7$[/tex], forming the number [tex]$77$[/tex].
5. Now determine how many times [tex]$11$[/tex] goes into [tex]$77$[/tex]. Since
[tex]$$11 \times 7 = 77,$$[/tex]
it goes in exactly [tex]$7$[/tex] times. Write [tex]$7$[/tex] in the quotient.
6. Multiply the divisor by [tex]$7$[/tex]:
[tex]$$7 \times 11 = 77$$[/tex]
Subtract:
[tex]$$77 - 77 = 0$$[/tex]
Since there are no more digits to bring down and the remainder is [tex]$0$[/tex], the final answer is a quotient of [tex]$17$[/tex] with a remainder of [tex]$0$[/tex].
Thus, we write:
[tex]$$187 \div 11 = 17 \text{ remainder } 0.$$[/tex]
1. Write the dividend and divisor:
[tex]$$187 \div 11$$[/tex]
2. Look at the first two digits of the dividend. Since [tex]$11$[/tex] is greater than [tex]$1$[/tex], we consider [tex]$18$[/tex]. Determine how many times [tex]$11$[/tex] goes into [tex]$18$[/tex]. It goes in [tex]$1$[/tex] time. Write [tex]$1$[/tex] in the quotient above the [tex]$8$[/tex] of [tex]$18$[/tex].
3. Multiply the divisor by [tex]$1$[/tex]:
[tex]$$1 \times 11 = 11$$[/tex]
Write this product below [tex]$18$[/tex] and subtract:
[tex]$$18 - 11 = 7$$[/tex]
4. Bring down the next digit of the dividend ([tex]$7$[/tex]) to the right of [tex]$7$[/tex], forming the number [tex]$77$[/tex].
5. Now determine how many times [tex]$11$[/tex] goes into [tex]$77$[/tex]. Since
[tex]$$11 \times 7 = 77,$$[/tex]
it goes in exactly [tex]$7$[/tex] times. Write [tex]$7$[/tex] in the quotient.
6. Multiply the divisor by [tex]$7$[/tex]:
[tex]$$7 \times 11 = 77$$[/tex]
Subtract:
[tex]$$77 - 77 = 0$$[/tex]
Since there are no more digits to bring down and the remainder is [tex]$0$[/tex], the final answer is a quotient of [tex]$17$[/tex] with a remainder of [tex]$0$[/tex].
Thus, we write:
[tex]$$187 \div 11 = 17 \text{ remainder } 0.$$[/tex]
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