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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 85 · 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. 1.33783 ÷ 88 =
  2. 2.210798 ÷ 989 =
  3. 3.843606 ÷ 989 =
  4. 4.25009 ÷ 98 =
  5. 5.98160 ÷ 98 =
  6. 6.80831 ÷ 98 =
  7. 7.77710 ÷ 98 =
  8. 8.46456 ÷ 98 =
  9. 9.77551 ÷ 96 =
  10. 10.6723 ÷ 8 =
  11. 11.61389 ÷ 997 =
  12. 12.12317 ÷ 88 =
  13. 13.56917 ÷ 97 =
  14. 14.925893 ÷ 989 =
  15. 15.97302 ÷ 89 =
  16. 16.1991 ÷ 8 =
  17. 17.7897 ÷ 98 =
  18. 18.21170 ÷ 97 =
  19. 19.5119 ÷ 96 =
  20. 20.759063 ÷ 989 =
  21. 21.195699 ÷ 998 =
  22. 22.97889 ÷ 89 =
  23. 23.29078 ÷ 96 =
  24. 24.838062 ÷ 998 =
  25. 25.42089 ÷ 998 =
  26. 26.99139 ÷ 97 =
  27. 27.15609 ÷ 88 =
  28. 28.90115 ÷ 988 =
  29. 29.20120 ÷ 89 =
  30. 30.676313 ÷ 988 =
  31. 31.29426 ÷ 98 =
  32. 32.18749 ÷ 88 =
  33. 33.25538 ÷ 96 =
  34. 34.66633 ÷ 96 =
  35. 35.88940 ÷ 98 =
  36. 36.61026 ÷ 96 =
  37. 37.181697 ÷ 988 =
  38. 38.3503 ÷ 98 =
  39. 39.698108 ÷ 989 =
  40. 40.72121 ÷ 98 =

Answer key

  1. 383 rem 79
  2. 213 rem 141
  3. 852 rem 978
  4. 255 rem 19
  5. 1001 rem 62
  6. 824 rem 79
  7. 792 rem 94
  8. 474 rem 4
  9. 807 rem 79
  10. 840 rem 3
  11. 61 rem 572
  12. 139 rem 85
  13. 586 rem 75
  14. 936 rem 189
  15. 1093 rem 25
  16. 248 rem 7
  17. 80 rem 57
  18. 218 rem 24
  19. 53 rem 31
  20. 767 rem 500
  21. 196 rem 91
  22. 1099 rem 78
  23. 302 rem 86
  24. 839 rem 740
  25. 42 rem 173
  26. 1022 rem 5
  27. 177 rem 33
  28. 91 rem 207
  29. 226 rem 6
  30. 684 rem 521
  31. 300 rem 26
  32. 213 rem 5
  33. 266 rem 2
  34. 694 rem 9
  35. 907 rem 54
  36. 635 rem 66
  37. 183 rem 893
  38. 35 rem 73
  39. 705 rem 863
  40. 735 rem 91

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