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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 674 · 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. 1.33950 ÷ 97 =
  2. 2.97565 ÷ 96 =
  3. 3.93693 ÷ 89 =
  4. 4.75759 ÷ 988 =
  5. 5.102552 ÷ 988 =
  6. 6.838542 ÷ 988 =
  7. 7.37630 ÷ 997 =
  8. 8.37068 ÷ 97 =
  9. 9.891185 ÷ 897 =
  10. 10.5036 ÷ 8 =
  11. 11.61922 ÷ 89 =
  12. 12.69005 ÷ 88 =
  13. 13.35907 ÷ 97 =
  14. 14.87869 ÷ 98 =
  15. 15.92087 ÷ 96 =
  16. 16.73919 ÷ 97 =
  17. 17.688557 ÷ 988 =
  18. 18.28301 ÷ 89 =
  19. 19.556478 ÷ 998 =
  20. 20.6476 ÷ 96 =
  21. 21.325862 ÷ 998 =
  22. 22.6679 ÷ 8 =
  23. 23.52509 ÷ 96 =
  24. 24.57311 ÷ 98 =
  25. 25.364221 ÷ 998 =
  26. 26.64391 ÷ 88 =
  27. 27.260160 ÷ 988 =
  28. 28.54800 ÷ 89 =
  29. 29.5680 ÷ 8 =
  30. 30.58646 ÷ 97 =
  31. 31.2966 ÷ 97 =
  32. 32.513769 ÷ 998 =
  33. 33.5136 ÷ 8 =
  34. 34.3786 ÷ 8 =
  35. 35.41772 ÷ 98 =
  36. 36.885174 ÷ 997 =
  37. 37.56378 ÷ 96 =
  38. 38.1882 ÷ 8 =
  39. 39.2398 ÷ 8 =
  40. 40.358 ÷ 8 =

Answer key

  1. 350 rem 0
  2. 1016 rem 29
  3. 1052 rem 65
  4. 76 rem 671
  5. 103 rem 788
  6. 848 rem 718
  7. 37 rem 741
  8. 382 rem 14
  9. 993 rem 464
  10. 629 rem 4
  11. 695 rem 67
  12. 784 rem 13
  13. 370 rem 17
  14. 896 rem 61
  15. 959 rem 23
  16. 762 rem 5
  17. 696 rem 909
  18. 317 rem 88
  19. 557 rem 592
  20. 67 rem 44
  21. 326 rem 514
  22. 834 rem 7
  23. 546 rem 93
  24. 584 rem 79
  25. 364 rem 949
  26. 731 rem 63
  27. 263 rem 316
  28. 615 rem 65
  29. 710 rem 0
  30. 604 rem 58
  31. 30 rem 56
  32. 514 rem 797
  33. 642 rem 0
  34. 473 rem 2
  35. 426 rem 24
  36. 887 rem 835
  37. 587 rem 26
  38. 235 rem 2
  39. 299 rem 6
  40. 44 rem 6

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