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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 893 · 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. 1.31164 ÷ 89 =
  2. 2.41851 ÷ 88 =
  3. 3.678320 ÷ 897 =
  4. 4.731894 ÷ 988 =
  5. 5.80257 ÷ 98 =
  6. 6.57008 ÷ 97 =
  7. 7.24362 ÷ 98 =
  8. 8.670087 ÷ 897 =
  9. 9.2363 ÷ 8 =
  10. 10.23671 ÷ 98 =
  11. 11.961165 ÷ 988 =
  12. 12.40721 ÷ 89 =
  13. 13.130374 ÷ 998 =
  14. 14.265753 ÷ 897 =
  15. 15.23279 ÷ 88 =
  16. 16.717167 ÷ 989 =
  17. 17.86087 ÷ 96 =
  18. 18.39417 ÷ 89 =
  19. 19.8950 ÷ 8 =
  20. 20.578059 ÷ 897 =
  21. 21.501180 ÷ 998 =
  22. 22.781876 ÷ 897 =
  23. 23.76146 ÷ 96 =
  24. 24.5132 ÷ 8 =
  25. 25.41652 ÷ 97 =
  26. 26.4134 ÷ 8 =
  27. 27.42334 ÷ 88 =
  28. 28.29896 ÷ 89 =
  29. 29.63436 ÷ 89 =
  30. 30.191803 ÷ 998 =
  31. 31.83786 ÷ 88 =
  32. 32.477024 ÷ 897 =
  33. 33.6846 ÷ 97 =
  34. 34.154976 ÷ 897 =
  35. 35.521911 ÷ 989 =
  36. 36.254427 ÷ 989 =
  37. 37.92150 ÷ 97 =
  38. 38.11087 ÷ 989 =
  39. 39.89418 ÷ 97 =
  40. 40.13828 ÷ 98 =

Answer key

  1. 350 rem 14
  2. 475 rem 51
  3. 756 rem 188
  4. 740 rem 774
  5. 818 rem 93
  6. 587 rem 69
  7. 248 rem 58
  8. 747 rem 28
  9. 295 rem 3
  10. 241 rem 53
  11. 972 rem 829
  12. 457 rem 48
  13. 130 rem 634
  14. 296 rem 241
  15. 264 rem 47
  16. 725 rem 142
  17. 896 rem 71
  18. 442 rem 79
  19. 1118 rem 6
  20. 644 rem 391
  21. 502 rem 184
  22. 871 rem 589
  23. 793 rem 18
  24. 641 rem 4
  25. 429 rem 39
  26. 516 rem 6
  27. 481 rem 6
  28. 335 rem 81
  29. 712 rem 68
  30. 192 rem 187
  31. 952 rem 10
  32. 531 rem 717
  33. 70 rem 56
  34. 172 rem 692
  35. 527 rem 708
  36. 257 rem 254
  37. 950 rem 0
  38. 11 rem 208
  39. 921 rem 81
  40. 141 rem 10

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