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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 803 · 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. 1.200387 ÷ 988 =
  2. 2.59233 ÷ 89 =
  3. 3.62074 ÷ 88 =
  4. 4.10660 ÷ 989 =
  5. 5.28387 ÷ 989 =
  6. 6.216011 ÷ 997 =
  7. 7.55320 ÷ 997 =
  8. 8.59699 ÷ 989 =
  9. 9.87127 ÷ 97 =
  10. 10.941644 ÷ 997 =
  11. 11.360596 ÷ 988 =
  12. 12.263716 ÷ 989 =
  13. 13.37304 ÷ 98 =
  14. 14.30752 ÷ 997 =
  15. 15.526186 ÷ 897 =
  16. 16.81386 ÷ 97 =
  17. 17.99807 ÷ 88 =
  18. 18.65192 ÷ 897 =
  19. 19.207194 ÷ 997 =
  20. 20.5571 ÷ 8 =
  21. 21.58851 ÷ 997 =
  22. 22.451630 ÷ 989 =
  23. 23.992517 ÷ 988 =
  24. 24.31660 ÷ 997 =
  25. 25.68240 ÷ 97 =
  26. 26.7930 ÷ 96 =
  27. 27.1118 ÷ 89 =
  28. 28.96124 ÷ 96 =
  29. 29.856371 ÷ 997 =
  30. 30.6947 ÷ 8 =
  31. 31.24878 ÷ 89 =
  32. 32.80859 ÷ 89 =
  33. 33.754120 ÷ 997 =
  34. 34.39500 ÷ 98 =
  35. 35.95592 ÷ 88 =
  36. 36.786659 ÷ 998 =
  37. 37.8138 ÷ 8 =
  38. 38.75099 ÷ 89 =
  39. 39.743578 ÷ 988 =
  40. 40.1695 ÷ 8 =

Answer key

  1. 202 rem 811
  2. 665 rem 48
  3. 705 rem 34
  4. 10 rem 770
  5. 28 rem 695
  6. 216 rem 659
  7. 55 rem 485
  8. 60 rem 359
  9. 898 rem 21
  10. 944 rem 476
  11. 364 rem 964
  12. 266 rem 642
  13. 380 rem 64
  14. 30 rem 842
  15. 586 rem 544
  16. 839 rem 3
  17. 1134 rem 15
  18. 72 rem 608
  19. 207 rem 815
  20. 696 rem 3
  21. 59 rem 28
  22. 456 rem 646
  23. 1004 rem 565
  24. 31 rem 753
  25. 703 rem 49
  26. 82 rem 58
  27. 12 rem 50
  28. 1001 rem 28
  29. 858 rem 945
  30. 868 rem 3
  31. 279 rem 47
  32. 908 rem 47
  33. 756 rem 388
  34. 403 rem 6
  35. 1086 rem 24
  36. 788 rem 235
  37. 1017 rem 2
  38. 843 rem 72
  39. 752 rem 602
  40. 211 rem 7

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