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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 373 · 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. 1.76613 ÷ 89 =
  2. 2.492640 ÷ 997 =
  3. 3.85110 ÷ 98 =
  4. 4.36036 ÷ 98 =
  5. 5.459099 ÷ 897 =
  6. 6.26812 ÷ 98 =
  7. 7.59546 ÷ 98 =
  8. 8.56337 ÷ 98 =
  9. 9.244801 ÷ 897 =
  10. 10.15902 ÷ 89 =
  11. 11.954 ÷ 8 =
  12. 12.2240 ÷ 8 =
  13. 13.98392 ÷ 89 =
  14. 14.85386 ÷ 897 =
  15. 15.36203 ÷ 98 =
  16. 16.13596 ÷ 96 =
  17. 17.381075 ÷ 897 =
  18. 18.24511 ÷ 88 =
  19. 19.82032 ÷ 96 =
  20. 20.4657 ÷ 8 =
  21. 21.523686 ÷ 989 =
  22. 22.225461 ÷ 989 =
  23. 23.638745 ÷ 989 =
  24. 24.3334 ÷ 8 =
  25. 25.95421 ÷ 96 =
  26. 26.38007 ÷ 997 =
  27. 27.2582 ÷ 8 =
  28. 28.38742 ÷ 88 =
  29. 29.742153 ÷ 998 =
  30. 30.99764 ÷ 989 =
  31. 31.2115 ÷ 8 =
  32. 32.234854 ÷ 998 =
  33. 33.278911 ÷ 988 =
  34. 34.9120 ÷ 89 =
  35. 35.208116 ÷ 989 =
  36. 36.1021 ÷ 97 =
  37. 37.481672 ÷ 997 =
  38. 38.22406 ÷ 98 =
  39. 39.26368 ÷ 998 =
  40. 40.1184 ÷ 8 =

Answer key

  1. 860 rem 73
  2. 494 rem 122
  3. 868 rem 46
  4. 367 rem 70
  5. 511 rem 732
  6. 273 rem 58
  7. 607 rem 60
  8. 574 rem 85
  9. 272 rem 817
  10. 178 rem 60
  11. 119 rem 2
  12. 280 rem 0
  13. 1105 rem 47
  14. 95 rem 171
  15. 369 rem 41
  16. 141 rem 60
  17. 424 rem 747
  18. 278 rem 47
  19. 854 rem 48
  20. 582 rem 1
  21. 529 rem 505
  22. 227 rem 958
  23. 645 rem 840
  24. 416 rem 6
  25. 993 rem 93
  26. 38 rem 121
  27. 322 rem 6
  28. 440 rem 22
  29. 743 rem 639
  30. 100 rem 864
  31. 264 rem 3
  32. 235 rem 324
  33. 282 rem 295
  34. 102 rem 42
  35. 210 rem 426
  36. 10 rem 51
  37. 483 rem 121
  38. 228 rem 62
  39. 26 rem 420
  40. 148 rem 0

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