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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 919 · 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. 1.207024 ÷ 997 =
  2. 2.6936 ÷ 8 =
  3. 3.752759 ÷ 998 =
  4. 4.684432 ÷ 989 =
  5. 5.44804 ÷ 96 =
  6. 6.748872 ÷ 989 =
  7. 7.710407 ÷ 989 =
  8. 8.781761 ÷ 998 =
  9. 9.56257 ÷ 97 =
  10. 10.732902 ÷ 998 =
  11. 11.9559 ÷ 8 =
  12. 12.13098 ÷ 89 =
  13. 13.667365 ÷ 897 =
  14. 14.8790 ÷ 89 =
  15. 15.678665 ÷ 998 =
  16. 16.139194 ÷ 997 =
  17. 17.42500 ÷ 89 =
  18. 18.43368 ÷ 96 =
  19. 19.941417 ÷ 897 =
  20. 20.641941 ÷ 988 =
  21. 21.116198 ÷ 989 =
  22. 22.834547 ÷ 997 =
  23. 23.703156 ÷ 897 =
  24. 24.57312 ÷ 96 =
  25. 25.36742 ÷ 97 =
  26. 26.44891 ÷ 98 =
  27. 27.63012 ÷ 97 =
  28. 28.41878 ÷ 98 =
  29. 29.42978 ÷ 88 =
  30. 30.957639 ÷ 988 =
  31. 31.26906 ÷ 98 =
  32. 32.875609 ÷ 989 =
  33. 33.71275 ÷ 988 =
  34. 34.27750 ÷ 89 =
  35. 35.74298 ÷ 96 =
  36. 36.10521 ÷ 96 =
  37. 37.719381 ÷ 989 =
  38. 38.5084 ÷ 96 =
  39. 39.46324 ÷ 988 =
  40. 40.23497 ÷ 96 =

Answer key

  1. 207 rem 645
  2. 867 rem 0
  3. 754 rem 267
  4. 692 rem 44
  5. 466 rem 68
  6. 757 rem 199
  7. 718 rem 305
  8. 783 rem 327
  9. 579 rem 94
  10. 734 rem 370
  11. 1194 rem 7
  12. 147 rem 15
  13. 743 rem 894
  14. 98 rem 68
  15. 680 rem 25
  16. 139 rem 611
  17. 477 rem 47
  18. 451 rem 72
  19. 1049 rem 464
  20. 649 rem 729
  21. 117 rem 485
  22. 837 rem 58
  23. 783 rem 805
  24. 597 rem 0
  25. 378 rem 76
  26. 458 rem 7
  27. 649 rem 59
  28. 427 rem 32
  29. 488 rem 34
  30. 969 rem 267
  31. 274 rem 54
  32. 885 rem 344
  33. 72 rem 139
  34. 311 rem 71
  35. 773 rem 90
  36. 109 rem 57
  37. 727 rem 378
  38. 52 rem 92
  39. 46 rem 876
  40. 244 rem 73

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