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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 257 · 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. 1.673167 ÷ 997 =
  2. 2.2156 ÷ 88 =
  3. 3.25285 ÷ 97 =
  4. 4.10595 ÷ 89 =
  5. 5.948042 ÷ 897 =
  6. 6.177528 ÷ 998 =
  7. 7.2434 ÷ 96 =
  8. 8.267051 ÷ 998 =
  9. 9.292611 ÷ 997 =
  10. 10.512889 ÷ 997 =
  11. 11.872342 ÷ 897 =
  12. 12.8207 ÷ 97 =
  13. 13.525347 ÷ 997 =
  14. 14.28178 ÷ 89 =
  15. 15.5399 ÷ 8 =
  16. 16.96757 ÷ 88 =
  17. 17.5938 ÷ 88 =
  18. 18.661493 ÷ 897 =
  19. 19.8850 ÷ 8 =
  20. 20.6153 ÷ 8 =
  21. 21.78319 ÷ 98 =
  22. 22.856021 ÷ 998 =
  23. 23.53672 ÷ 98 =
  24. 24.9660 ÷ 97 =
  25. 25.22851 ÷ 88 =
  26. 26.327171 ÷ 897 =
  27. 27.101623 ÷ 897 =
  28. 28.460690 ÷ 998 =
  29. 29.801775 ÷ 998 =
  30. 30.84644 ÷ 97 =
  31. 31.215269 ÷ 997 =
  32. 32.5435 ÷ 8 =
  33. 33.17558 ÷ 97 =
  34. 34.4425 ÷ 89 =
  35. 35.760971 ÷ 998 =
  36. 36.90206 ÷ 98 =
  37. 37.359046 ÷ 897 =
  38. 38.31372 ÷ 97 =
  39. 39.310727 ÷ 997 =
  40. 40.731426 ÷ 997 =

Answer key

  1. 675 rem 192
  2. 24 rem 44
  3. 260 rem 65
  4. 119 rem 4
  5. 1056 rem 810
  6. 177 rem 882
  7. 25 rem 34
  8. 267 rem 585
  9. 293 rem 490
  10. 514 rem 431
  11. 972 rem 458
  12. 84 rem 59
  13. 526 rem 925
  14. 316 rem 54
  15. 674 rem 7
  16. 1099 rem 45
  17. 67 rem 42
  18. 737 rem 404
  19. 1106 rem 2
  20. 769 rem 1
  21. 799 rem 17
  22. 857 rem 735
  23. 547 rem 66
  24. 99 rem 57
  25. 259 rem 59
  26. 364 rem 663
  27. 113 rem 262
  28. 461 rem 612
  29. 803 rem 381
  30. 872 rem 60
  31. 215 rem 914
  32. 679 rem 3
  33. 181 rem 1
  34. 49 rem 64
  35. 762 rem 495
  36. 920 rem 46
  37. 400 rem 246
  38. 323 rem 41
  39. 311 rem 660
  40. 733 rem 625

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