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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 499 · 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. 1.28486 ÷ 97 =
  2. 2.554013 ÷ 997 =
  3. 3.541387 ÷ 897 =
  4. 4.6078 ÷ 8 =
  5. 5.775432 ÷ 897 =
  6. 6.422411 ÷ 998 =
  7. 7.59227 ÷ 97 =
  8. 8.263253 ÷ 997 =
  9. 9.23160 ÷ 88 =
  10. 10.31439 ÷ 88 =
  11. 11.365105 ÷ 997 =
  12. 12.31081 ÷ 96 =
  13. 13.81480 ÷ 88 =
  14. 14.28297 ÷ 98 =
  15. 15.14128 ÷ 97 =
  16. 16.3652 ÷ 8 =
  17. 17.37958 ÷ 97 =
  18. 18.11496 ÷ 96 =
  19. 19.622485 ÷ 997 =
  20. 20.164897 ÷ 897 =
  21. 21.775884 ÷ 897 =
  22. 22.19347 ÷ 97 =
  23. 23.12459 ÷ 98 =
  24. 24.147 ÷ 8 =
  25. 25.80449 ÷ 98 =
  26. 26.7689 ÷ 8 =
  27. 27.6317 ÷ 8 =
  28. 28.25825 ÷ 96 =
  29. 29.4945 ÷ 89 =
  30. 30.72631 ÷ 88 =
  31. 31.3455 ÷ 8 =
  32. 32.30623 ÷ 96 =
  33. 33.54096 ÷ 96 =
  34. 34.4252 ÷ 8 =
  35. 35.77527 ÷ 89 =
  36. 36.821091 ÷ 998 =
  37. 37.480443 ÷ 989 =
  38. 38.57790 ÷ 89 =
  39. 39.37505 ÷ 88 =
  40. 40.3347 ÷ 8 =

Answer key

  1. 293 rem 65
  2. 555 rem 678
  3. 603 rem 496
  4. 759 rem 6
  5. 864 rem 424
  6. 423 rem 257
  7. 610 rem 57
  8. 264 rem 45
  9. 263 rem 16
  10. 357 rem 23
  11. 366 rem 203
  12. 323 rem 73
  13. 925 rem 80
  14. 288 rem 73
  15. 145 rem 63
  16. 456 rem 4
  17. 391 rem 31
  18. 119 rem 72
  19. 624 rem 357
  20. 183 rem 746
  21. 864 rem 876
  22. 199 rem 44
  23. 127 rem 13
  24. 18 rem 3
  25. 820 rem 89
  26. 961 rem 1
  27. 789 rem 5
  28. 269 rem 1
  29. 55 rem 50
  30. 825 rem 31
  31. 431 rem 7
  32. 318 rem 95
  33. 563 rem 48
  34. 531 rem 4
  35. 871 rem 8
  36. 822 rem 735
  37. 485 rem 778
  38. 649 rem 29
  39. 426 rem 17
  40. 418 rem 3

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