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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 398 · 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. 1.64612 ÷ 97 =
  2. 2.70408 ÷ 97 =
  3. 3.59636 ÷ 97 =
  4. 4.7466 ÷ 8 =
  5. 5.384930 ÷ 989 =
  6. 6.66593 ÷ 89 =
  7. 7.8665 ÷ 8 =
  8. 8.46896 ÷ 98 =
  9. 9.229309 ÷ 897 =
  10. 10.508301 ÷ 988 =
  11. 11.41764 ÷ 98 =
  12. 12.217102 ÷ 897 =
  13. 13.37155 ÷ 97 =
  14. 14.69778 ÷ 98 =
  15. 15.53217 ÷ 97 =
  16. 16.822011 ÷ 997 =
  17. 17.98286 ÷ 98 =
  18. 18.5383 ÷ 8 =
  19. 19.3335 ÷ 8 =
  20. 20.55038 ÷ 98 =
  21. 21.36799 ÷ 98 =
  22. 22.684814 ÷ 997 =
  23. 23.93675 ÷ 97 =
  24. 24.171155 ÷ 897 =
  25. 25.101244 ÷ 897 =
  26. 26.59455 ÷ 96 =
  27. 27.312063 ÷ 997 =
  28. 28.46519 ÷ 96 =
  29. 29.777087 ÷ 897 =
  30. 30.2533 ÷ 97 =
  31. 31.106359 ÷ 897 =
  32. 32.689332 ÷ 897 =
  33. 33.302809 ÷ 989 =
  34. 34.8570 ÷ 96 =
  35. 35.52196 ÷ 98 =
  36. 36.2222 ÷ 8 =
  37. 37.905704 ÷ 998 =
  38. 38.58778 ÷ 88 =
  39. 39.32395 ÷ 89 =
  40. 40.420276 ÷ 988 =

Answer key

  1. 666 rem 10
  2. 725 rem 83
  3. 614 rem 78
  4. 933 rem 2
  5. 389 rem 209
  6. 748 rem 21
  7. 1083 rem 1
  8. 478 rem 52
  9. 255 rem 574
  10. 514 rem 469
  11. 426 rem 16
  12. 242 rem 28
  13. 383 rem 4
  14. 712 rem 2
  15. 548 rem 61
  16. 824 rem 483
  17. 1002 rem 90
  18. 672 rem 7
  19. 416 rem 7
  20. 561 rem 60
  21. 375 rem 49
  22. 686 rem 872
  23. 965 rem 70
  24. 190 rem 725
  25. 112 rem 780
  26. 619 rem 31
  27. 313 rem 2
  28. 484 rem 55
  29. 866 rem 285
  30. 26 rem 11
  31. 118 rem 513
  32. 768 rem 436
  33. 306 rem 175
  34. 89 rem 26
  35. 532 rem 60
  36. 277 rem 6
  37. 907 rem 518
  38. 667 rem 82
  39. 363 rem 88
  40. 425 rem 376

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