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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 809 · 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. 1.727892 ÷ 897 =
  2. 2.73769 ÷ 989 =
  3. 3.619881 ÷ 998 =
  4. 4.13480 ÷ 96 =
  5. 5.33535 ÷ 97 =
  6. 6.63172 ÷ 89 =
  7. 7.8514 ÷ 8 =
  8. 8.21049 ÷ 989 =
  9. 9.762115 ÷ 988 =
  10. 10.95219 ÷ 96 =
  11. 11.60166 ÷ 988 =
  12. 12.4035 ÷ 97 =
  13. 13.95533 ÷ 988 =
  14. 14.49256 ÷ 97 =
  15. 15.743498 ÷ 897 =
  16. 16.864711 ÷ 897 =
  17. 17.1283 ÷ 8 =
  18. 18.987815 ÷ 998 =
  19. 19.447489 ÷ 998 =
  20. 20.197681 ÷ 897 =
  21. 21.900611 ÷ 998 =
  22. 22.123360 ÷ 998 =
  23. 23.320278 ÷ 997 =
  24. 24.3138 ÷ 8 =
  25. 25.392624 ÷ 897 =
  26. 26.5285 ÷ 96 =
  27. 27.53579 ÷ 989 =
  28. 28.11958 ÷ 997 =
  29. 29.45576 ÷ 97 =
  30. 30.69836 ÷ 89 =
  31. 31.3837 ÷ 97 =
  32. 32.12261 ÷ 89 =
  33. 33.113672 ÷ 989 =
  34. 34.15947 ÷ 897 =
  35. 35.98149 ÷ 97 =
  36. 36.1598 ÷ 89 =
  37. 37.10098 ÷ 98 =
  38. 38.251410 ÷ 988 =
  39. 39.882871 ÷ 989 =
  40. 40.13351 ÷ 97 =

Answer key

  1. 811 rem 425
  2. 74 rem 583
  3. 621 rem 123
  4. 140 rem 40
  5. 345 rem 70
  6. 709 rem 71
  7. 1064 rem 2
  8. 21 rem 280
  9. 771 rem 367
  10. 991 rem 83
  11. 60 rem 886
  12. 41 rem 58
  13. 96 rem 685
  14. 507 rem 77
  15. 828 rem 782
  16. 964 rem 3
  17. 160 rem 3
  18. 989 rem 793
  19. 448 rem 385
  20. 220 rem 341
  21. 902 rem 415
  22. 123 rem 606
  23. 321 rem 241
  24. 392 rem 2
  25. 437 rem 635
  26. 55 rem 5
  27. 54 rem 173
  28. 11 rem 991
  29. 469 rem 83
  30. 784 rem 60
  31. 39 rem 54
  32. 137 rem 68
  33. 114 rem 926
  34. 17 rem 698
  35. 1011 rem 82
  36. 17 rem 85
  37. 103 rem 4
  38. 254 rem 458
  39. 892 rem 683
  40. 137 rem 62

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