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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 927 · 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. 1.470755 ÷ 997 =
  2. 2.32613 ÷ 89 =
  3. 3.489 ÷ 8 =
  4. 4.60026 ÷ 97 =
  5. 5.69907 ÷ 88 =
  6. 6.236 ÷ 8 =
  7. 7.727028 ÷ 997 =
  8. 8.890670 ÷ 998 =
  9. 9.233291 ÷ 998 =
  10. 10.85658 ÷ 98 =
  11. 11.739649 ÷ 998 =
  12. 12.39835 ÷ 98 =
  13. 13.46054 ÷ 98 =
  14. 14.553359 ÷ 988 =
  15. 15.58522 ÷ 97 =
  16. 16.3760 ÷ 8 =
  17. 17.91724 ÷ 88 =
  18. 18.161947 ÷ 897 =
  19. 19.3687 ÷ 97 =
  20. 20.305556 ÷ 988 =
  21. 21.919197 ÷ 989 =
  22. 22.458271 ÷ 997 =
  23. 23.2983 ÷ 96 =
  24. 24.72272 ÷ 97 =
  25. 25.168120 ÷ 998 =
  26. 26.5030 ÷ 8 =
  27. 27.269459 ÷ 988 =
  28. 28.92115 ÷ 96 =
  29. 29.31776 ÷ 89 =
  30. 30.48235 ÷ 97 =
  31. 31.745537 ÷ 989 =
  32. 32.778104 ÷ 989 =
  33. 33.866 ÷ 8 =
  34. 34.412471 ÷ 989 =
  35. 35.467636 ÷ 998 =
  36. 36.99545 ÷ 89 =
  37. 37.47084 ÷ 89 =
  38. 38.19682 ÷ 89 =
  39. 39.6774 ÷ 98 =
  40. 40.21556 ÷ 88 =

Answer key

  1. 472 rem 171
  2. 366 rem 39
  3. 61 rem 1
  4. 618 rem 80
  5. 794 rem 35
  6. 29 rem 4
  7. 729 rem 215
  8. 892 rem 454
  9. 233 rem 757
  10. 874 rem 6
  11. 741 rem 131
  12. 406 rem 47
  13. 469 rem 92
  14. 560 rem 79
  15. 603 rem 31
  16. 470 rem 0
  17. 1042 rem 28
  18. 180 rem 487
  19. 38 rem 1
  20. 309 rem 264
  21. 929 rem 416
  22. 459 rem 648
  23. 31 rem 7
  24. 745 rem 7
  25. 168 rem 456
  26. 628 rem 6
  27. 272 rem 723
  28. 959 rem 51
  29. 357 rem 3
  30. 497 rem 26
  31. 753 rem 820
  32. 786 rem 750
  33. 108 rem 2
  34. 417 rem 58
  35. 468 rem 572
  36. 1118 rem 43
  37. 529 rem 3
  38. 221 rem 13
  39. 69 rem 12
  40. 244 rem 84

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