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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 823 · 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. 1.21556 ÷ 96 =
  2. 2.41575 ÷ 897 =
  3. 3.26200 ÷ 88 =
  4. 4.89614 ÷ 89 =
  5. 5.699348 ÷ 988 =
  6. 6.7093 ÷ 98 =
  7. 7.335459 ÷ 989 =
  8. 8.98414 ÷ 97 =
  9. 9.8062 ÷ 8 =
  10. 10.462234 ÷ 997 =
  11. 11.923144 ÷ 988 =
  12. 12.15546 ÷ 97 =
  13. 13.68506 ÷ 89 =
  14. 14.31733 ÷ 89 =
  15. 15.75243 ÷ 98 =
  16. 16.40261 ÷ 96 =
  17. 17.35512 ÷ 98 =
  18. 18.77748 ÷ 97 =
  19. 19.83315 ÷ 98 =
  20. 20.165331 ÷ 989 =
  21. 21.95655 ÷ 89 =
  22. 22.68690 ÷ 97 =
  23. 23.29774 ÷ 88 =
  24. 24.3963 ÷ 8 =
  25. 25.65206 ÷ 989 =
  26. 26.242712 ÷ 998 =
  27. 27.2433 ÷ 8 =
  28. 28.22918 ÷ 98 =
  29. 29.62430 ÷ 98 =
  30. 30.910911 ÷ 988 =
  31. 31.756707 ÷ 988 =
  32. 32.708883 ÷ 998 =
  33. 33.45680 ÷ 96 =
  34. 34.325411 ÷ 988 =
  35. 35.41259 ÷ 98 =
  36. 36.848013 ÷ 997 =
  37. 37.3233 ÷ 98 =
  38. 38.79574 ÷ 88 =
  39. 39.2775 ÷ 8 =
  40. 40.57398 ÷ 98 =

Answer key

  1. 224 rem 52
  2. 46 rem 313
  3. 297 rem 64
  4. 1006 rem 80
  5. 707 rem 832
  6. 72 rem 37
  7. 339 rem 188
  8. 1014 rem 56
  9. 1007 rem 6
  10. 463 rem 623
  11. 934 rem 352
  12. 160 rem 26
  13. 769 rem 65
  14. 356 rem 49
  15. 767 rem 77
  16. 419 rem 37
  17. 362 rem 36
  18. 801 rem 51
  19. 850 rem 15
  20. 167 rem 168
  21. 1074 rem 69
  22. 708 rem 14
  23. 338 rem 30
  24. 495 rem 3
  25. 65 rem 921
  26. 243 rem 198
  27. 304 rem 1
  28. 233 rem 84
  29. 637 rem 4
  30. 921 rem 963
  31. 765 rem 887
  32. 710 rem 303
  33. 475 rem 80
  34. 329 rem 359
  35. 421 rem 1
  36. 850 rem 563
  37. 32 rem 97
  38. 904 rem 22
  39. 346 rem 7
  40. 585 rem 68

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