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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 822 · 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. 1.1013 ÷ 8 =
  2. 2.44030 ÷ 88 =
  3. 3.675808 ÷ 998 =
  4. 4.722857 ÷ 998 =
  5. 5.83887 ÷ 96 =
  6. 6.20585 ÷ 98 =
  7. 7.151581 ÷ 897 =
  8. 8.81806 ÷ 98 =
  9. 9.104084 ÷ 989 =
  10. 10.55133 ÷ 98 =
  11. 11.134911 ÷ 897 =
  12. 12.301044 ÷ 997 =
  13. 13.6316 ÷ 8 =
  14. 14.97107 ÷ 96 =
  15. 15.164865 ÷ 997 =
  16. 16.90579 ÷ 89 =
  17. 17.1100 ÷ 97 =
  18. 18.120123 ÷ 989 =
  19. 19.7266 ÷ 8 =
  20. 20.66338 ÷ 98 =
  21. 21.10589 ÷ 96 =
  22. 22.6052 ÷ 8 =
  23. 23.84260 ÷ 97 =
  24. 24.112334 ÷ 988 =
  25. 25.15694 ÷ 88 =
  26. 26.38002 ÷ 97 =
  27. 27.125307 ÷ 997 =
  28. 28.66573 ÷ 97 =
  29. 29.22923 ÷ 98 =
  30. 30.36215 ÷ 88 =
  31. 31.7557 ÷ 8 =
  32. 32.9178 ÷ 89 =
  33. 33.99259 ÷ 989 =
  34. 34.97323 ÷ 89 =
  35. 35.43805 ÷ 97 =
  36. 36.59786 ÷ 89 =
  37. 37.39441 ÷ 88 =
  38. 38.13634 ÷ 97 =
  39. 39.9964 ÷ 8 =
  40. 40.17687 ÷ 98 =

Answer key

  1. 126 rem 5
  2. 500 rem 30
  3. 677 rem 162
  4. 724 rem 305
  5. 873 rem 79
  6. 210 rem 5
  7. 168 rem 885
  8. 834 rem 74
  9. 105 rem 239
  10. 562 rem 57
  11. 150 rem 361
  12. 301 rem 947
  13. 789 rem 4
  14. 1011 rem 51
  15. 165 rem 360
  16. 1017 rem 66
  17. 11 rem 33
  18. 121 rem 454
  19. 908 rem 2
  20. 676 rem 90
  21. 110 rem 29
  22. 756 rem 4
  23. 868 rem 64
  24. 113 rem 690
  25. 178 rem 30
  26. 391 rem 75
  27. 125 rem 682
  28. 686 rem 31
  29. 233 rem 89
  30. 411 rem 47
  31. 944 rem 5
  32. 103 rem 11
  33. 100 rem 359
  34. 1093 rem 46
  35. 451 rem 58
  36. 671 rem 67
  37. 448 rem 17
  38. 140 rem 54
  39. 1245 rem 4
  40. 180 rem 47

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