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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 616 · 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. 1.4195 ÷ 98 =
  2. 2.337903 ÷ 998 =
  3. 3.865080 ÷ 897 =
  4. 4.16786 ÷ 89 =
  5. 5.9394 ÷ 8 =
  6. 6.24918 ÷ 89 =
  7. 7.550205 ÷ 897 =
  8. 8.592 ÷ 8 =
  9. 9.483316 ÷ 997 =
  10. 10.13055 ÷ 89 =
  11. 11.787028 ÷ 897 =
  12. 12.790052 ÷ 897 =
  13. 13.581152 ÷ 988 =
  14. 14.270828 ÷ 988 =
  15. 15.79378 ÷ 98 =
  16. 16.6731 ÷ 8 =
  17. 17.20783 ÷ 897 =
  18. 18.818574 ÷ 997 =
  19. 19.39596 ÷ 88 =
  20. 20.55343 ÷ 89 =
  21. 21.2624 ÷ 8 =
  22. 22.47540 ÷ 98 =
  23. 23.55214 ÷ 96 =
  24. 24.1533 ÷ 8 =
  25. 25.98019 ÷ 97 =
  26. 26.72404 ÷ 98 =
  27. 27.78904 ÷ 998 =
  28. 28.939086 ÷ 997 =
  29. 29.96214 ÷ 98 =
  30. 30.91395 ÷ 96 =
  31. 31.457118 ÷ 998 =
  32. 32.581736 ÷ 998 =
  33. 33.621089 ÷ 988 =
  34. 34.18389 ÷ 989 =
  35. 35.220055 ÷ 997 =
  36. 36.89166 ÷ 96 =
  37. 37.6074 ÷ 8 =
  38. 38.57611 ÷ 88 =
  39. 39.396047 ÷ 998 =
  40. 40.3892 ÷ 98 =

Answer key

  1. 42 rem 79
  2. 338 rem 579
  3. 964 rem 372
  4. 188 rem 54
  5. 1174 rem 2
  6. 279 rem 87
  7. 613 rem 344
  8. 74 rem 0
  9. 484 rem 768
  10. 146 rem 61
  11. 877 rem 359
  12. 880 rem 692
  13. 588 rem 208
  14. 274 rem 116
  15. 809 rem 96
  16. 841 rem 3
  17. 23 rem 152
  18. 821 rem 37
  19. 449 rem 84
  20. 621 rem 74
  21. 328 rem 0
  22. 485 rem 10
  23. 575 rem 14
  24. 191 rem 5
  25. 1010 rem 49
  26. 738 rem 80
  27. 79 rem 62
  28. 941 rem 909
  29. 981 rem 76
  30. 952 rem 3
  31. 458 rem 34
  32. 582 rem 900
  33. 628 rem 625
  34. 18 rem 587
  35. 220 rem 715
  36. 928 rem 78
  37. 759 rem 2
  38. 654 rem 59
  39. 396 rem 839
  40. 39 rem 70

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