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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 120 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.12565 ÷ 88 =
  2. 2.164323 ÷ 989 =
  3. 3.412462 ÷ 989 =
  4. 4.27913 ÷ 97 =
  5. 5.268076 ÷ 989 =
  6. 6.54169 ÷ 88 =
  7. 7.71134 ÷ 89 =
  8. 8.90012 ÷ 897 =
  9. 9.61340 ÷ 96 =
  10. 10.934133 ÷ 988 =
  11. 11.632031 ÷ 989 =
  12. 12.823717 ÷ 998 =
  13. 13.499670 ÷ 997 =
  14. 14.104768 ÷ 997 =
  15. 15.96776 ÷ 96 =
  16. 16.93497 ÷ 97 =
  17. 17.50790 ÷ 96 =
  18. 18.3231 ÷ 88 =
  19. 19.59070 ÷ 98 =
  20. 20.64102 ÷ 88 =
  21. 21.43087 ÷ 97 =
  22. 22.677814 ÷ 988 =
  23. 23.1255 ÷ 8 =
  24. 24.574502 ÷ 997 =
  25. 25.790723 ÷ 989 =
  26. 26.764 ÷ 8 =
  27. 27.143782 ÷ 997 =
  28. 28.83135 ÷ 89 =
  29. 29.19327 ÷ 998 =
  30. 30.185464 ÷ 998 =
  31. 31.976624 ÷ 998 =
  32. 32.66158 ÷ 89 =
  33. 33.50466 ÷ 89 =
  34. 34.620040 ÷ 897 =
  35. 35.986448 ÷ 988 =
  36. 36.209314 ÷ 989 =
  37. 37.1386 ÷ 8 =
  38. 38.976285 ÷ 989 =
  39. 39.52853 ÷ 89 =
  40. 40.437464 ÷ 997 =

Answer key

  1. 142 rem 69
  2. 166 rem 149
  3. 417 rem 49
  4. 287 rem 74
  5. 271 rem 57
  6. 615 rem 49
  7. 799 rem 23
  8. 100 rem 312
  9. 638 rem 92
  10. 945 rem 473
  11. 639 rem 60
  12. 825 rem 367
  13. 501 rem 173
  14. 105 rem 83
  15. 1008 rem 8
  16. 963 rem 86
  17. 529 rem 6
  18. 36 rem 63
  19. 602 rem 74
  20. 728 rem 38
  21. 444 rem 19
  22. 686 rem 46
  23. 156 rem 7
  24. 576 rem 230
  25. 799 rem 512
  26. 95 rem 4
  27. 144 rem 214
  28. 934 rem 9
  29. 19 rem 365
  30. 185 rem 834
  31. 978 rem 580
  32. 743 rem 31
  33. 567 rem 3
  34. 691 rem 213
  35. 998 rem 424
  36. 211 rem 635
  37. 173 rem 2
  38. 987 rem 142
  39. 593 rem 76
  40. 438 rem 778

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