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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 400 · 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. 1.66679 ÷ 89 =
  2. 2.67315 ÷ 88 =
  3. 3.42116 ÷ 88 =
  4. 4.137542 ÷ 998 =
  5. 5.284409 ÷ 998 =
  6. 6.690316 ÷ 897 =
  7. 7.518799 ÷ 997 =
  8. 8.24426 ÷ 98 =
  9. 9.189286 ÷ 997 =
  10. 10.55278 ÷ 97 =
  11. 11.881689 ÷ 989 =
  12. 12.11744 ÷ 98 =
  13. 13.30591 ÷ 96 =
  14. 14.13772 ÷ 88 =
  15. 15.71492 ÷ 96 =
  16. 16.510517 ÷ 989 =
  17. 17.56795 ÷ 88 =
  18. 18.949825 ÷ 897 =
  19. 19.53525 ÷ 97 =
  20. 20.37276 ÷ 97 =
  21. 21.56504 ÷ 96 =
  22. 22.87520 ÷ 98 =
  23. 23.17880 ÷ 88 =
  24. 24.1967 ÷ 8 =
  25. 25.2633 ÷ 8 =
  26. 26.9574 ÷ 88 =
  27. 27.22806 ÷ 98 =
  28. 28.18162 ÷ 98 =
  29. 29.181942 ÷ 997 =
  30. 30.877932 ÷ 997 =
  31. 31.91713 ÷ 88 =
  32. 32.792026 ÷ 989 =
  33. 33.10774 ÷ 997 =
  34. 34.852403 ÷ 989 =
  35. 35.44222 ÷ 98 =
  36. 36.94193 ÷ 98 =
  37. 37.16518 ÷ 97 =
  38. 38.71284 ÷ 97 =
  39. 39.324271 ÷ 998 =
  40. 40.297864 ÷ 988 =

Answer key

  1. 749 rem 18
  2. 764 rem 83
  3. 478 rem 52
  4. 137 rem 816
  5. 284 rem 977
  6. 769 rem 523
  7. 520 rem 359
  8. 249 rem 24
  9. 189 rem 853
  10. 569 rem 85
  11. 891 rem 490
  12. 119 rem 82
  13. 318 rem 63
  14. 156 rem 44
  15. 744 rem 68
  16. 516 rem 193
  17. 645 rem 35
  18. 1058 rem 799
  19. 551 rem 78
  20. 384 rem 28
  21. 588 rem 56
  22. 893 rem 6
  23. 203 rem 16
  24. 245 rem 7
  25. 329 rem 1
  26. 108 rem 70
  27. 232 rem 70
  28. 185 rem 32
  29. 182 rem 488
  30. 880 rem 572
  31. 1042 rem 17
  32. 800 rem 826
  33. 10 rem 804
  34. 861 rem 874
  35. 451 rem 24
  36. 961 rem 15
  37. 170 rem 28
  38. 734 rem 86
  39. 324 rem 919
  40. 301 rem 476

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