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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 539 · 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. 1.79542 ÷ 96 =
  2. 2.333237 ÷ 988 =
  3. 3.64786 ÷ 88 =
  4. 4.82581 ÷ 97 =
  5. 5.30125 ÷ 89 =
  6. 6.209097 ÷ 989 =
  7. 7.414829 ÷ 989 =
  8. 8.13607 ÷ 89 =
  9. 9.917729 ÷ 988 =
  10. 10.738364 ÷ 998 =
  11. 11.13993 ÷ 89 =
  12. 12.51722 ÷ 988 =
  13. 13.737835 ÷ 997 =
  14. 14.30858 ÷ 97 =
  15. 15.752748 ÷ 997 =
  16. 16.1815 ÷ 8 =
  17. 17.13769 ÷ 88 =
  18. 18.736388 ÷ 897 =
  19. 19.7901 ÷ 8 =
  20. 20.81241 ÷ 96 =
  21. 21.92835 ÷ 88 =
  22. 22.162212 ÷ 988 =
  23. 23.15538 ÷ 96 =
  24. 24.979490 ÷ 897 =
  25. 25.619650 ÷ 997 =
  26. 26.140563 ÷ 998 =
  27. 27.743194 ÷ 989 =
  28. 28.13191 ÷ 897 =
  29. 29.42801 ÷ 96 =
  30. 30.512991 ÷ 897 =
  31. 31.868379 ÷ 997 =
  32. 32.186021 ÷ 989 =
  33. 33.250323 ÷ 997 =
  34. 34.16469 ÷ 88 =
  35. 35.14277 ÷ 997 =
  36. 36.65179 ÷ 89 =
  37. 37.78519 ÷ 989 =
  38. 38.806498 ÷ 988 =
  39. 39.23705 ÷ 96 =
  40. 40.772473 ÷ 998 =

Answer key

  1. 828 rem 54
  2. 337 rem 281
  3. 736 rem 18
  4. 851 rem 34
  5. 338 rem 43
  6. 211 rem 418
  7. 419 rem 438
  8. 152 rem 79
  9. 928 rem 865
  10. 739 rem 842
  11. 157 rem 20
  12. 52 rem 346
  13. 740 rem 55
  14. 318 rem 12
  15. 755 rem 13
  16. 226 rem 7
  17. 156 rem 41
  18. 820 rem 848
  19. 987 rem 5
  20. 846 rem 25
  21. 1054 rem 83
  22. 164 rem 180
  23. 161 rem 82
  24. 1091 rem 863
  25. 621 rem 513
  26. 140 rem 843
  27. 751 rem 455
  28. 14 rem 633
  29. 445 rem 81
  30. 571 rem 804
  31. 870 rem 989
  32. 188 rem 89
  33. 251 rem 76
  34. 187 rem 13
  35. 14 rem 319
  36. 732 rem 31
  37. 79 rem 388
  38. 816 rem 290
  39. 246 rem 89
  40. 774 rem 21

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