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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 638 · 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. 1.109607 ÷ 989 =
  2. 2.74825 ÷ 897 =
  3. 3.120858 ÷ 897 =
  4. 4.189802 ÷ 997 =
  5. 5.24829 ÷ 88 =
  6. 6.973842 ÷ 897 =
  7. 7.13237 ÷ 98 =
  8. 8.493415 ÷ 997 =
  9. 9.64640 ÷ 98 =
  10. 10.95137 ÷ 989 =
  11. 11.532894 ÷ 897 =
  12. 12.45778 ÷ 96 =
  13. 13.16940 ÷ 98 =
  14. 14.13544 ÷ 98 =
  15. 15.720967 ÷ 997 =
  16. 16.220075 ÷ 988 =
  17. 17.605688 ÷ 998 =
  18. 18.4329 ÷ 8 =
  19. 19.97434 ÷ 89 =
  20. 20.5266 ÷ 97 =
  21. 21.56002 ÷ 88 =
  22. 22.15318 ÷ 96 =
  23. 23.448360 ÷ 988 =
  24. 24.5249 ÷ 8 =
  25. 25.632677 ÷ 989 =
  26. 26.8675 ÷ 8 =
  27. 27.954826 ÷ 998 =
  28. 28.52828 ÷ 89 =
  29. 29.794861 ÷ 998 =
  30. 30.284366 ÷ 897 =
  31. 31.237908 ÷ 897 =
  32. 32.91704 ÷ 88 =
  33. 33.6579 ÷ 88 =
  34. 34.20167 ÷ 89 =
  35. 35.358059 ÷ 988 =
  36. 36.454444 ÷ 989 =
  37. 37.97136 ÷ 88 =
  38. 38.34163 ÷ 88 =
  39. 39.365475 ÷ 897 =
  40. 40.98017 ÷ 89 =

Answer key

  1. 110 rem 817
  2. 83 rem 374
  3. 134 rem 660
  4. 190 rem 372
  5. 282 rem 13
  6. 1085 rem 597
  7. 135 rem 7
  8. 494 rem 897
  9. 659 rem 58
  10. 96 rem 193
  11. 594 rem 76
  12. 476 rem 82
  13. 172 rem 84
  14. 138 rem 20
  15. 723 rem 136
  16. 222 rem 739
  17. 606 rem 900
  18. 541 rem 1
  19. 1094 rem 68
  20. 54 rem 28
  21. 636 rem 34
  22. 159 rem 54
  23. 453 rem 796
  24. 656 rem 1
  25. 639 rem 706
  26. 1084 rem 3
  27. 956 rem 738
  28. 593 rem 51
  29. 796 rem 453
  30. 317 rem 17
  31. 265 rem 203
  32. 1042 rem 8
  33. 74 rem 67
  34. 226 rem 53
  35. 362 rem 403
  36. 459 rem 493
  37. 1103 rem 72
  38. 388 rem 19
  39. 407 rem 396
  40. 1101 rem 28

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