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Find least non negative integer r such t...

Find least non negative integer r such that `7xx13xx23xx413 -= r "(mod 11)"`

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`7xx13xx23xx412 -="r(mod11)"`
Now `7xx13 -= "mod 11"
" 23-= 1 "mod" 11
413 -= 6 "mod" 11`
`:. 7xx13xx23xx413 -= 3xx1xx6 "mod" 11`
`-= 18 "mod" 11 `
` -= 7 "mod" 11`
`:. r =7`
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