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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 745 · 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. 1.94856 ÷ 96 =
  2. 2.256282 ÷ 989 =
  3. 3.306970 ÷ 989 =
  4. 4.2952 ÷ 8 =
  5. 5.837505 ÷ 997 =
  6. 6.377267 ÷ 897 =
  7. 7.152563 ÷ 997 =
  8. 8.42327 ÷ 98 =
  9. 9.869834 ÷ 998 =
  10. 10.116435 ÷ 997 =
  11. 11.81974 ÷ 88 =
  12. 12.418626 ÷ 998 =
  13. 13.40379 ÷ 96 =
  14. 14.520975 ÷ 997 =
  15. 15.74739 ÷ 89 =
  16. 16.31840 ÷ 98 =
  17. 17.86297 ÷ 89 =
  18. 18.888274 ÷ 988 =
  19. 19.92301 ÷ 96 =
  20. 20.62564 ÷ 998 =
  21. 21.2009 ÷ 8 =
  22. 22.748080 ÷ 997 =
  23. 23.45132 ÷ 96 =
  24. 24.99989 ÷ 96 =
  25. 25.320722 ÷ 997 =
  26. 26.735902 ÷ 988 =
  27. 27.88415 ÷ 97 =
  28. 28.72308 ÷ 98 =
  29. 29.41144 ÷ 97 =
  30. 30.19972 ÷ 89 =
  31. 31.98770 ÷ 89 =
  32. 32.322635 ÷ 988 =
  33. 33.9882 ÷ 88 =
  34. 34.41963 ÷ 97 =
  35. 35.975178 ÷ 998 =
  36. 36.339611 ÷ 998 =
  37. 37.81297 ÷ 96 =
  38. 38.99369 ÷ 998 =
  39. 39.44115 ÷ 89 =
  40. 40.4448 ÷ 97 =

Answer key

  1. 988 rem 8
  2. 259 rem 131
  3. 310 rem 380
  4. 369 rem 0
  5. 840 rem 25
  6. 420 rem 527
  7. 153 rem 22
  8. 431 rem 89
  9. 871 rem 576
  10. 116 rem 783
  11. 931 rem 46
  12. 419 rem 464
  13. 420 rem 59
  14. 522 rem 541
  15. 839 rem 68
  16. 324 rem 88
  17. 969 rem 56
  18. 899 rem 62
  19. 961 rem 45
  20. 62 rem 688
  21. 251 rem 1
  22. 750 rem 330
  23. 470 rem 12
  24. 1041 rem 53
  25. 321 rem 685
  26. 744 rem 830
  27. 911 rem 48
  28. 737 rem 82
  29. 424 rem 16
  30. 224 rem 36
  31. 1109 rem 69
  32. 326 rem 547
  33. 112 rem 26
  34. 432 rem 59
  35. 977 rem 132
  36. 340 rem 291
  37. 846 rem 81
  38. 99 rem 567
  39. 495 rem 60
  40. 45 rem 83

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