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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 658 · 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. 1.612453 ÷ 989 =
  2. 2.15399 ÷ 88 =
  3. 3.626187 ÷ 897 =
  4. 4.382075 ÷ 989 =
  5. 5.360278 ÷ 997 =
  6. 6.464829 ÷ 989 =
  7. 7.286165 ÷ 989 =
  8. 8.72973 ÷ 89 =
  9. 9.902868 ÷ 897 =
  10. 10.48202 ÷ 97 =
  11. 11.5152 ÷ 8 =
  12. 12.72413 ÷ 97 =
  13. 13.19290 ÷ 89 =
  14. 14.353291 ÷ 897 =
  15. 15.773843 ÷ 997 =
  16. 16.495320 ÷ 989 =
  17. 17.230797 ÷ 989 =
  18. 18.60452 ÷ 88 =
  19. 19.97144 ÷ 96 =
  20. 20.5584 ÷ 8 =
  21. 21.96290 ÷ 89 =
  22. 22.29972 ÷ 98 =
  23. 23.316416 ÷ 998 =
  24. 24.97670 ÷ 98 =
  25. 25.5117 ÷ 8 =
  26. 26.6750 ÷ 96 =
  27. 27.5697 ÷ 97 =
  28. 28.1739 ÷ 8 =
  29. 29.5927 ÷ 8 =
  30. 30.168001 ÷ 997 =
  31. 31.301926 ÷ 988 =
  32. 32.1575 ÷ 8 =
  33. 33.36391 ÷ 897 =
  34. 34.78381 ÷ 88 =
  35. 35.188795 ÷ 997 =
  36. 36.38245 ÷ 998 =
  37. 37.57693 ÷ 89 =
  38. 38.617471 ÷ 988 =
  39. 39.896162 ÷ 897 =
  40. 40.15630 ÷ 97 =

Answer key

  1. 619 rem 262
  2. 174 rem 87
  3. 698 rem 81
  4. 386 rem 321
  5. 361 rem 361
  6. 469 rem 988
  7. 289 rem 344
  8. 819 rem 82
  9. 1006 rem 486
  10. 496 rem 90
  11. 644 rem 0
  12. 746 rem 51
  13. 216 rem 66
  14. 393 rem 770
  15. 776 rem 171
  16. 500 rem 820
  17. 233 rem 360
  18. 686 rem 84
  19. 1011 rem 88
  20. 698 rem 0
  21. 1081 rem 81
  22. 305 rem 82
  23. 317 rem 50
  24. 996 rem 62
  25. 639 rem 5
  26. 70 rem 30
  27. 58 rem 71
  28. 217 rem 3
  29. 740 rem 7
  30. 168 rem 505
  31. 305 rem 586
  32. 196 rem 7
  33. 40 rem 511
  34. 890 rem 61
  35. 189 rem 362
  36. 38 rem 321
  37. 648 rem 21
  38. 624 rem 959
  39. 999 rem 59
  40. 161 rem 13

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