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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 968 · 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. 1.214847 ÷ 897 =
  2. 2.908305 ÷ 998 =
  3. 3.730499 ÷ 988 =
  4. 4.111004 ÷ 989 =
  5. 5.74453 ÷ 96 =
  6. 6.71160 ÷ 998 =
  7. 7.709081 ÷ 988 =
  8. 8.36627 ÷ 89 =
  9. 9.30566 ÷ 98 =
  10. 10.535414 ÷ 997 =
  11. 11.67525 ÷ 897 =
  12. 12.64552 ÷ 88 =
  13. 13.67826 ÷ 98 =
  14. 14.73856 ÷ 89 =
  15. 15.22951 ÷ 98 =
  16. 16.307218 ÷ 989 =
  17. 17.689067 ÷ 998 =
  18. 18.22144 ÷ 88 =
  19. 19.618897 ÷ 988 =
  20. 20.78938 ÷ 998 =
  21. 21.6432 ÷ 8 =
  22. 22.3519 ÷ 88 =
  23. 23.85703 ÷ 88 =
  24. 24.92892 ÷ 96 =
  25. 25.93823 ÷ 88 =
  26. 26.938795 ÷ 897 =
  27. 27.34149 ÷ 988 =
  28. 28.1658 ÷ 8 =
  29. 29.67263 ÷ 97 =
  30. 30.53096 ÷ 998 =
  31. 31.693356 ÷ 998 =
  32. 32.86262 ÷ 96 =
  33. 33.26045 ÷ 97 =
  34. 34.4119 ÷ 98 =
  35. 35.965336 ÷ 897 =
  36. 36.508395 ÷ 897 =
  37. 37.402978 ÷ 997 =
  38. 38.19671 ÷ 88 =
  39. 39.73146 ÷ 88 =
  40. 40.36407 ÷ 98 =

Answer key

  1. 239 rem 464
  2. 910 rem 125
  3. 739 rem 367
  4. 112 rem 236
  5. 775 rem 53
  6. 71 rem 302
  7. 717 rem 685
  8. 411 rem 48
  9. 311 rem 88
  10. 537 rem 25
  11. 75 rem 250
  12. 733 rem 48
  13. 692 rem 10
  14. 829 rem 75
  15. 234 rem 19
  16. 310 rem 628
  17. 690 rem 447
  18. 251 rem 56
  19. 626 rem 409
  20. 79 rem 96
  21. 804 rem 0
  22. 39 rem 87
  23. 973 rem 79
  24. 967 rem 60
  25. 1066 rem 15
  26. 1046 rem 533
  27. 34 rem 557
  28. 207 rem 2
  29. 693 rem 42
  30. 53 rem 202
  31. 694 rem 744
  32. 898 rem 54
  33. 268 rem 49
  34. 42 rem 3
  35. 1076 rem 164
  36. 566 rem 693
  37. 404 rem 190
  38. 223 rem 47
  39. 831 rem 18
  40. 371 rem 49

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