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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 443 · 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. 1.91622 ÷ 88 =
  2. 2.623762 ÷ 897 =
  3. 3.98911 ÷ 98 =
  4. 4.96844 ÷ 98 =
  5. 5.48051 ÷ 97 =
  6. 6.317085 ÷ 989 =
  7. 7.7022 ÷ 97 =
  8. 8.46049 ÷ 96 =
  9. 9.592 ÷ 8 =
  10. 10.50286 ÷ 96 =
  11. 11.4302 ÷ 8 =
  12. 12.53294 ÷ 98 =
  13. 13.268398 ÷ 997 =
  14. 14.352821 ÷ 998 =
  15. 15.21398 ÷ 98 =
  16. 16.20375 ÷ 97 =
  17. 17.8026 ÷ 97 =
  18. 18.85446 ÷ 97 =
  19. 19.502373 ÷ 997 =
  20. 20.69273 ÷ 96 =
  21. 21.7823 ÷ 96 =
  22. 22.852526 ÷ 989 =
  23. 23.332087 ÷ 897 =
  24. 24.26996 ÷ 97 =
  25. 25.619166 ÷ 998 =
  26. 26.204265 ÷ 997 =
  27. 27.546680 ÷ 897 =
  28. 28.3905 ÷ 88 =
  29. 29.284645 ÷ 997 =
  30. 30.3669 ÷ 8 =
  31. 31.48039 ÷ 98 =
  32. 32.663052 ÷ 988 =
  33. 33.875513 ÷ 998 =
  34. 34.62372 ÷ 989 =
  35. 35.267007 ÷ 998 =
  36. 36.19696 ÷ 89 =
  37. 37.473030 ÷ 989 =
  38. 38.70123 ÷ 88 =
  39. 39.637925 ÷ 997 =
  40. 40.306452 ÷ 897 =

Answer key

  1. 1041 rem 14
  2. 695 rem 347
  3. 1009 rem 29
  4. 988 rem 20
  5. 495 rem 36
  6. 320 rem 605
  7. 72 rem 38
  8. 479 rem 65
  9. 74 rem 0
  10. 523 rem 78
  11. 537 rem 6
  12. 543 rem 80
  13. 269 rem 205
  14. 353 rem 527
  15. 218 rem 34
  16. 210 rem 5
  17. 82 rem 72
  18. 880 rem 86
  19. 503 rem 882
  20. 721 rem 57
  21. 81 rem 47
  22. 862 rem 8
  23. 370 rem 197
  24. 278 rem 30
  25. 620 rem 406
  26. 204 rem 877
  27. 609 rem 407
  28. 44 rem 33
  29. 285 rem 500
  30. 458 rem 5
  31. 490 rem 19
  32. 671 rem 104
  33. 877 rem 267
  34. 63 rem 65
  35. 267 rem 541
  36. 221 rem 27
  37. 478 rem 288
  38. 796 rem 75
  39. 639 rem 842
  40. 341 rem 575

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