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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 113 · 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. 1.93050 ÷ 89 =
  2. 2.908673 ÷ 988 =
  3. 3.69410 ÷ 89 =
  4. 4.80537 ÷ 98 =
  5. 5.77722 ÷ 98 =
  6. 6.212231 ÷ 897 =
  7. 7.12798 ÷ 89 =
  8. 8.4243 ÷ 8 =
  9. 9.95712 ÷ 96 =
  10. 10.388168 ÷ 997 =
  11. 11.270528 ÷ 897 =
  12. 12.79634 ÷ 88 =
  13. 13.69633 ÷ 97 =
  14. 14.20277 ÷ 97 =
  15. 15.986119 ÷ 989 =
  16. 16.916928 ÷ 997 =
  17. 17.47823 ÷ 98 =
  18. 18.86458 ÷ 89 =
  19. 19.2002 ÷ 8 =
  20. 20.71288 ÷ 89 =
  21. 21.554781 ÷ 997 =
  22. 22.24190 ÷ 88 =
  23. 23.19973 ÷ 88 =
  24. 24.684530 ÷ 997 =
  25. 25.71149 ÷ 96 =
  26. 26.64467 ÷ 89 =
  27. 27.53523 ÷ 98 =
  28. 28.766240 ÷ 998 =
  29. 29.4175 ÷ 97 =
  30. 30.2154 ÷ 98 =
  31. 31.16634 ÷ 89 =
  32. 32.18582 ÷ 88 =
  33. 33.325241 ÷ 989 =
  34. 34.975628 ÷ 897 =
  35. 35.1996 ÷ 96 =
  36. 36.79939 ÷ 89 =
  37. 37.74889 ÷ 98 =
  38. 38.4569 ÷ 88 =
  39. 39.239816 ÷ 989 =
  40. 40.9108 ÷ 8 =

Answer key

  1. 1045 rem 45
  2. 919 rem 701
  3. 779 rem 79
  4. 821 rem 79
  5. 793 rem 8
  6. 236 rem 539
  7. 143 rem 71
  8. 530 rem 3
  9. 997 rem 0
  10. 389 rem 335
  11. 301 rem 531
  12. 904 rem 82
  13. 717 rem 84
  14. 209 rem 4
  15. 997 rem 86
  16. 919 rem 685
  17. 487 rem 97
  18. 971 rem 39
  19. 250 rem 2
  20. 800 rem 88
  21. 556 rem 449
  22. 274 rem 78
  23. 226 rem 85
  24. 686 rem 588
  25. 741 rem 13
  26. 724 rem 31
  27. 546 rem 15
  28. 767 rem 774
  29. 43 rem 4
  30. 21 rem 96
  31. 186 rem 80
  32. 211 rem 14
  33. 328 rem 849
  34. 1087 rem 589
  35. 20 rem 76
  36. 898 rem 17
  37. 764 rem 17
  38. 51 rem 81
  39. 242 rem 478
  40. 1138 rem 4

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