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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 696 · 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. 1.70478 ÷ 98 =
  2. 2.101071 ÷ 989 =
  3. 3.70288 ÷ 988 =
  4. 4.28169 ÷ 97 =
  5. 5.6648 ÷ 8 =
  6. 6.33191 ÷ 989 =
  7. 7.66587 ÷ 96 =
  8. 8.22504 ÷ 97 =
  9. 9.313352 ÷ 997 =
  10. 10.837181 ÷ 897 =
  11. 11.63593 ÷ 98 =
  12. 12.168531 ÷ 897 =
  13. 13.837 ÷ 8 =
  14. 14.893167 ÷ 989 =
  15. 15.114639 ÷ 897 =
  16. 16.115136 ÷ 988 =
  17. 17.21637 ÷ 96 =
  18. 18.55806 ÷ 88 =
  19. 19.851540 ÷ 998 =
  20. 20.718433 ÷ 897 =
  21. 21.2470 ÷ 8 =
  22. 22.23923 ÷ 97 =
  23. 23.99304 ÷ 89 =
  24. 24.654961 ÷ 988 =
  25. 25.47087 ÷ 96 =
  26. 26.37804 ÷ 96 =
  27. 27.205515 ÷ 897 =
  28. 28.428533 ÷ 997 =
  29. 29.661125 ÷ 988 =
  30. 30.31064 ÷ 96 =
  31. 31.54723 ÷ 89 =
  32. 32.211233 ÷ 997 =
  33. 33.47832 ÷ 98 =
  34. 34.5947 ÷ 8 =
  35. 35.645457 ÷ 989 =
  36. 36.458815 ÷ 997 =
  37. 37.6002 ÷ 8 =
  38. 38.73261 ÷ 96 =
  39. 39.417660 ÷ 988 =
  40. 40.60980 ÷ 97 =

Answer key

  1. 719 rem 16
  2. 102 rem 193
  3. 71 rem 140
  4. 290 rem 39
  5. 831 rem 0
  6. 33 rem 554
  7. 693 rem 59
  8. 232 rem 0
  9. 314 rem 294
  10. 933 rem 280
  11. 648 rem 89
  12. 187 rem 792
  13. 104 rem 5
  14. 903 rem 100
  15. 127 rem 720
  16. 116 rem 528
  17. 225 rem 37
  18. 634 rem 14
  19. 853 rem 246
  20. 800 rem 833
  21. 308 rem 6
  22. 246 rem 61
  23. 1115 rem 69
  24. 662 rem 905
  25. 490 rem 47
  26. 393 rem 76
  27. 229 rem 102
  28. 429 rem 820
  29. 669 rem 153
  30. 323 rem 56
  31. 614 rem 77
  32. 211 rem 866
  33. 488 rem 8
  34. 743 rem 3
  35. 652 rem 629
  36. 460 rem 195
  37. 750 rem 2
  38. 763 rem 13
  39. 422 rem 724
  40. 628 rem 64

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