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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 233 · 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. 1.9205 ÷ 98 =
  2. 2.2904 ÷ 8 =
  3. 3.972261 ÷ 988 =
  4. 4.4813 ÷ 8 =
  5. 5.89219 ÷ 97 =
  6. 6.343238 ÷ 897 =
  7. 7.44682 ÷ 88 =
  8. 8.870788 ÷ 989 =
  9. 9.82624 ÷ 89 =
  10. 10.876413 ÷ 997 =
  11. 11.81829 ÷ 97 =
  12. 12.813658 ÷ 998 =
  13. 13.678577 ÷ 998 =
  14. 14.96550 ÷ 97 =
  15. 15.20464 ÷ 98 =
  16. 16.874621 ÷ 989 =
  17. 17.5744 ÷ 96 =
  18. 18.48425 ÷ 96 =
  19. 19.28799 ÷ 88 =
  20. 20.534289 ÷ 988 =
  21. 21.716748 ÷ 897 =
  22. 22.998467 ÷ 897 =
  23. 23.4435 ÷ 8 =
  24. 24.9508 ÷ 8 =
  25. 25.677051 ÷ 897 =
  26. 26.89719 ÷ 89 =
  27. 27.98023 ÷ 98 =
  28. 28.12691 ÷ 89 =
  29. 29.88166 ÷ 98 =
  30. 30.33349 ÷ 897 =
  31. 31.9936 ÷ 8 =
  32. 32.21698 ÷ 96 =
  33. 33.79276 ÷ 897 =
  34. 34.35604 ÷ 97 =
  35. 35.69352 ÷ 97 =
  36. 36.611288 ÷ 989 =
  37. 37.209691 ÷ 989 =
  38. 38.92264 ÷ 96 =
  39. 39.685337 ÷ 988 =
  40. 40.8461 ÷ 98 =

Answer key

  1. 93 rem 91
  2. 363 rem 0
  3. 984 rem 69
  4. 601 rem 5
  5. 919 rem 76
  6. 382 rem 584
  7. 507 rem 66
  8. 880 rem 468
  9. 928 rem 32
  10. 879 rem 50
  11. 843 rem 58
  12. 815 rem 288
  13. 679 rem 935
  14. 995 rem 35
  15. 208 rem 80
  16. 884 rem 345
  17. 59 rem 80
  18. 504 rem 41
  19. 327 rem 23
  20. 540 rem 769
  21. 799 rem 45
  22. 1113 rem 106
  23. 554 rem 3
  24. 1188 rem 4
  25. 754 rem 713
  26. 1008 rem 7
  27. 1000 rem 23
  28. 142 rem 53
  29. 899 rem 64
  30. 37 rem 160
  31. 1242 rem 0
  32. 226 rem 2
  33. 88 rem 340
  34. 367 rem 5
  35. 714 rem 94
  36. 618 rem 86
  37. 212 rem 23
  38. 961 rem 8
  39. 693 rem 653
  40. 86 rem 33

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