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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 701 · 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. 1.260135 ÷ 989 =
  2. 2.9140 ÷ 96 =
  3. 3.2321 ÷ 98 =
  4. 4.218072 ÷ 988 =
  5. 5.436420 ÷ 998 =
  6. 6.982796 ÷ 988 =
  7. 7.232620 ÷ 998 =
  8. 8.831466 ÷ 998 =
  9. 9.4571 ÷ 8 =
  10. 10.42715 ÷ 89 =
  11. 11.9024 ÷ 8 =
  12. 12.45643 ÷ 97 =
  13. 13.20224 ÷ 88 =
  14. 14.262515 ÷ 998 =
  15. 15.74379 ÷ 98 =
  16. 16.634313 ÷ 998 =
  17. 17.36625 ÷ 98 =
  18. 18.21071 ÷ 98 =
  19. 19.21625 ÷ 88 =
  20. 20.550179 ÷ 998 =
  21. 21.15091 ÷ 96 =
  22. 22.75692 ÷ 97 =
  23. 23.618504 ÷ 997 =
  24. 24.762811 ÷ 989 =
  25. 25.861795 ÷ 988 =
  26. 26.53451 ÷ 88 =
  27. 27.811373 ÷ 988 =
  28. 28.523969 ÷ 998 =
  29. 29.800874 ÷ 897 =
  30. 30.52105 ÷ 997 =
  31. 31.8833 ÷ 8 =
  32. 32.68365 ÷ 97 =
  33. 33.823182 ÷ 997 =
  34. 34.70098 ÷ 88 =
  35. 35.44646 ÷ 96 =
  36. 36.57472 ÷ 88 =
  37. 37.9674 ÷ 8 =
  38. 38.1640 ÷ 8 =
  39. 39.35563 ÷ 989 =
  40. 40.40511 ÷ 98 =

Answer key

  1. 263 rem 28
  2. 95 rem 20
  3. 23 rem 67
  4. 220 rem 712
  5. 437 rem 294
  6. 994 rem 724
  7. 233 rem 86
  8. 833 rem 132
  9. 571 rem 3
  10. 479 rem 84
  11. 1128 rem 0
  12. 470 rem 53
  13. 229 rem 72
  14. 263 rem 41
  15. 758 rem 95
  16. 635 rem 583
  17. 373 rem 71
  18. 215 rem 1
  19. 245 rem 65
  20. 551 rem 281
  21. 157 rem 19
  22. 780 rem 32
  23. 620 rem 364
  24. 771 rem 292
  25. 872 rem 259
  26. 607 rem 35
  27. 821 rem 225
  28. 525 rem 19
  29. 892 rem 750
  30. 52 rem 261
  31. 1104 rem 1
  32. 704 rem 77
  33. 825 rem 657
  34. 796 rem 50
  35. 465 rem 6
  36. 653 rem 8
  37. 1209 rem 2
  38. 205 rem 0
  39. 35 rem 948
  40. 413 rem 37

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