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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 31 · 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. 1.28833 ÷ 989 =
  2. 2.761336 ÷ 897 =
  3. 3.664377 ÷ 997 =
  4. 4.289099 ÷ 989 =
  5. 5.22568 ÷ 96 =
  6. 6.70695 ÷ 96 =
  7. 7.701618 ÷ 998 =
  8. 8.96600 ÷ 97 =
  9. 9.26755 ÷ 88 =
  10. 10.653286 ÷ 897 =
  11. 11.892217 ÷ 989 =
  12. 12.349417 ÷ 988 =
  13. 13.1206 ÷ 97 =
  14. 14.1762 ÷ 8 =
  15. 15.711831 ÷ 988 =
  16. 16.876479 ÷ 988 =
  17. 17.557932 ÷ 997 =
  18. 18.536117 ÷ 997 =
  19. 19.652 ÷ 8 =
  20. 20.17378 ÷ 89 =
  21. 21.277933 ÷ 989 =
  22. 22.236681 ÷ 997 =
  23. 23.58104 ÷ 96 =
  24. 24.1525 ÷ 88 =
  25. 25.22691 ÷ 97 =
  26. 26.230794 ÷ 897 =
  27. 27.4815 ÷ 8 =
  28. 28.3971 ÷ 8 =
  29. 29.463390 ÷ 997 =
  30. 30.81135 ÷ 998 =
  31. 31.785819 ÷ 897 =
  32. 32.310797 ÷ 989 =
  33. 33.380901 ÷ 988 =
  34. 34.80913 ÷ 88 =
  35. 35.191772 ÷ 989 =
  36. 36.85554 ÷ 96 =
  37. 37.592397 ÷ 988 =
  38. 38.2122 ÷ 8 =
  39. 39.386378 ÷ 897 =
  40. 40.71697 ÷ 88 =

Answer key

  1. 29 rem 152
  2. 848 rem 680
  3. 666 rem 375
  4. 292 rem 311
  5. 235 rem 8
  6. 736 rem 39
  7. 703 rem 24
  8. 995 rem 85
  9. 304 rem 3
  10. 728 rem 270
  11. 902 rem 139
  12. 353 rem 653
  13. 12 rem 42
  14. 220 rem 2
  15. 720 rem 471
  16. 887 rem 123
  17. 559 rem 609
  18. 537 rem 728
  19. 81 rem 4
  20. 195 rem 23
  21. 281 rem 24
  22. 237 rem 392
  23. 605 rem 24
  24. 17 rem 29
  25. 233 rem 90
  26. 257 rem 265
  27. 601 rem 7
  28. 496 rem 3
  29. 464 rem 782
  30. 81 rem 297
  31. 876 rem 47
  32. 314 rem 251
  33. 385 rem 521
  34. 919 rem 41
  35. 193 rem 895
  36. 891 rem 18
  37. 599 rem 585
  38. 265 rem 2
  39. 430 rem 668
  40. 814 rem 65

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