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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 527 · 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. 1.113495 ÷ 988 =
  2. 2.54481 ÷ 96 =
  3. 3.542055 ÷ 988 =
  4. 4.802459 ÷ 989 =
  5. 5.821778 ÷ 997 =
  6. 6.58867 ÷ 89 =
  7. 7.46671 ÷ 97 =
  8. 8.267254 ÷ 989 =
  9. 9.23571 ÷ 97 =
  10. 10.706 ÷ 8 =
  11. 11.85520 ÷ 98 =
  12. 12.64798 ÷ 88 =
  13. 13.49824 ÷ 96 =
  14. 14.85143 ÷ 88 =
  15. 15.660835 ÷ 997 =
  16. 16.266380 ÷ 988 =
  17. 17.8427 ÷ 97 =
  18. 18.14707 ÷ 89 =
  19. 19.69857 ÷ 98 =
  20. 20.723695 ÷ 989 =
  21. 21.29871 ÷ 98 =
  22. 22.4910 ÷ 8 =
  23. 23.414836 ÷ 988 =
  24. 24.237957 ÷ 988 =
  25. 25.186825 ÷ 998 =
  26. 26.375574 ÷ 997 =
  27. 27.881173 ÷ 989 =
  28. 28.142368 ÷ 997 =
  29. 29.420676 ÷ 989 =
  30. 30.68246 ÷ 97 =
  31. 31.99971 ÷ 88 =
  32. 32.7815 ÷ 97 =
  33. 33.701942 ÷ 897 =
  34. 34.51023 ÷ 897 =
  35. 35.967932 ÷ 988 =
  36. 36.806282 ÷ 989 =
  37. 37.69231 ÷ 988 =
  38. 38.87083 ÷ 98 =
  39. 39.32563 ÷ 97 =
  40. 40.69535 ÷ 96 =

Answer key

  1. 114 rem 863
  2. 567 rem 49
  3. 548 rem 631
  4. 811 rem 380
  5. 824 rem 250
  6. 661 rem 38
  7. 481 rem 14
  8. 270 rem 224
  9. 243 rem 0
  10. 88 rem 2
  11. 872 rem 64
  12. 736 rem 30
  13. 519 rem 0
  14. 967 rem 47
  15. 662 rem 821
  16. 269 rem 608
  17. 86 rem 85
  18. 165 rem 22
  19. 712 rem 81
  20. 731 rem 736
  21. 304 rem 79
  22. 613 rem 6
  23. 419 rem 864
  24. 240 rem 837
  25. 187 rem 199
  26. 376 rem 702
  27. 890 rem 963
  28. 142 rem 794
  29. 425 rem 351
  30. 703 rem 55
  31. 1136 rem 3
  32. 80 rem 55
  33. 782 rem 488
  34. 56 rem 791
  35. 979 rem 680
  36. 815 rem 247
  37. 70 rem 71
  38. 888 rem 59
  39. 335 rem 68
  40. 724 rem 31

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