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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 804 · 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. 1.10531 ÷ 98 =
  2. 2.8908 ÷ 8 =
  3. 3.30986 ÷ 96 =
  4. 4.404698 ÷ 897 =
  5. 5.2141 ÷ 8 =
  6. 6.108159 ÷ 988 =
  7. 7.138738 ÷ 998 =
  8. 8.327702 ÷ 997 =
  9. 9.30249 ÷ 97 =
  10. 10.752573 ÷ 989 =
  11. 11.90955 ÷ 96 =
  12. 12.42463 ÷ 88 =
  13. 13.458761 ÷ 989 =
  14. 14.28089 ÷ 98 =
  15. 15.211125 ÷ 997 =
  16. 16.60577 ÷ 97 =
  17. 17.340560 ÷ 997 =
  18. 18.59196 ÷ 96 =
  19. 19.170924 ÷ 988 =
  20. 20.96302 ÷ 97 =
  21. 21.216212 ÷ 988 =
  22. 22.84392 ÷ 96 =
  23. 23.965268 ÷ 988 =
  24. 24.33527 ÷ 98 =
  25. 25.2325 ÷ 8 =
  26. 26.206806 ÷ 897 =
  27. 27.597185 ÷ 897 =
  28. 28.1620 ÷ 8 =
  29. 29.55897 ÷ 96 =
  30. 30.106273 ÷ 997 =
  31. 31.9426 ÷ 8 =
  32. 32.7164 ÷ 8 =
  33. 33.737253 ÷ 988 =
  34. 34.2349 ÷ 97 =
  35. 35.54716 ÷ 98 =
  36. 36.709790 ÷ 989 =
  37. 37.993822 ÷ 989 =
  38. 38.82256 ÷ 88 =
  39. 39.607775 ÷ 997 =
  40. 40.7788 ÷ 8 =

Answer key

  1. 107 rem 45
  2. 1113 rem 4
  3. 322 rem 74
  4. 451 rem 151
  5. 267 rem 5
  6. 109 rem 467
  7. 139 rem 16
  8. 328 rem 686
  9. 311 rem 82
  10. 760 rem 933
  11. 947 rem 43
  12. 482 rem 47
  13. 463 rem 854
  14. 286 rem 61
  15. 211 rem 758
  16. 624 rem 49
  17. 341 rem 583
  18. 616 rem 60
  19. 173 rem 0
  20. 992 rem 78
  21. 218 rem 828
  22. 879 rem 8
  23. 976 rem 980
  24. 342 rem 11
  25. 290 rem 5
  26. 230 rem 496
  27. 665 rem 680
  28. 202 rem 4
  29. 582 rem 25
  30. 106 rem 591
  31. 1178 rem 2
  32. 895 rem 4
  33. 746 rem 205
  34. 24 rem 21
  35. 558 rem 32
  36. 717 rem 677
  37. 1004 rem 866
  38. 934 rem 64
  39. 609 rem 602
  40. 973 rem 4

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