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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 879 · 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. 1.86736 ÷ 88 =
  2. 2.3940 ÷ 88 =
  3. 3.7301 ÷ 8 =
  4. 4.90327 ÷ 97 =
  5. 5.97393 ÷ 89 =
  6. 6.79863 ÷ 88 =
  7. 7.51654 ÷ 96 =
  8. 8.75732 ÷ 96 =
  9. 9.4654 ÷ 8 =
  10. 10.12651 ÷ 88 =
  11. 11.205184 ÷ 897 =
  12. 12.35385 ÷ 88 =
  13. 13.48046 ÷ 97 =
  14. 14.66394 ÷ 98 =
  15. 15.19271 ÷ 88 =
  16. 16.4295 ÷ 8 =
  17. 17.95303 ÷ 98 =
  18. 18.8729 ÷ 8 =
  19. 19.65121 ÷ 997 =
  20. 20.11236 ÷ 97 =
  21. 21.76647 ÷ 989 =
  22. 22.677447 ÷ 989 =
  23. 23.34314 ÷ 98 =
  24. 24.6099 ÷ 8 =
  25. 25.63043 ÷ 89 =
  26. 26.93678 ÷ 96 =
  27. 27.9008 ÷ 8 =
  28. 28.88977 ÷ 98 =
  29. 29.56900 ÷ 98 =
  30. 30.362232 ÷ 998 =
  31. 31.742636 ÷ 897 =
  32. 32.967115 ÷ 988 =
  33. 33.442551 ÷ 897 =
  34. 34.70917 ÷ 97 =
  35. 35.91766 ÷ 97 =
  36. 36.49825 ÷ 89 =
  37. 37.10539 ÷ 98 =
  38. 38.72247 ÷ 96 =
  39. 39.4216 ÷ 98 =
  40. 40.194292 ÷ 997 =

Answer key

  1. 985 rem 56
  2. 44 rem 68
  3. 912 rem 5
  4. 931 rem 20
  5. 1094 rem 27
  6. 907 rem 47
  7. 538 rem 6
  8. 788 rem 84
  9. 581 rem 6
  10. 143 rem 67
  11. 228 rem 668
  12. 402 rem 9
  13. 495 rem 31
  14. 677 rem 48
  15. 218 rem 87
  16. 536 rem 7
  17. 972 rem 47
  18. 1091 rem 1
  19. 65 rem 316
  20. 115 rem 81
  21. 77 rem 494
  22. 684 rem 971
  23. 350 rem 14
  24. 762 rem 3
  25. 708 rem 31
  26. 975 rem 78
  27. 1126 rem 0
  28. 907 rem 91
  29. 580 rem 60
  30. 362 rem 956
  31. 827 rem 817
  32. 978 rem 851
  33. 493 rem 330
  34. 731 rem 10
  35. 946 rem 4
  36. 559 rem 74
  37. 107 rem 53
  38. 752 rem 55
  39. 43 rem 2
  40. 194 rem 874

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