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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 741 · 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. 1.70001 ÷ 96 =
  2. 2.717299 ÷ 897 =
  3. 3.3420 ÷ 97 =
  4. 4.91593 ÷ 97 =
  5. 5.38776 ÷ 98 =
  6. 6.60403 ÷ 97 =
  7. 7.35540 ÷ 89 =
  8. 8.79759 ÷ 97 =
  9. 9.6534 ÷ 8 =
  10. 10.89160 ÷ 88 =
  11. 11.17026 ÷ 97 =
  12. 12.239694 ÷ 989 =
  13. 13.41995 ÷ 98 =
  14. 14.86161 ÷ 98 =
  15. 15.86963 ÷ 89 =
  16. 16.588942 ÷ 998 =
  17. 17.414177 ÷ 997 =
  18. 18.402248 ÷ 989 =
  19. 19.96850 ÷ 88 =
  20. 20.60049 ÷ 989 =
  21. 21.33448 ÷ 88 =
  22. 22.57484 ÷ 97 =
  23. 23.133877 ÷ 988 =
  24. 24.63475 ÷ 97 =
  25. 25.2470 ÷ 89 =
  26. 26.50905 ÷ 88 =
  27. 27.7024 ÷ 97 =
  28. 28.71286 ÷ 88 =
  29. 29.4365 ÷ 8 =
  30. 30.83057 ÷ 96 =
  31. 31.13607 ÷ 96 =
  32. 32.426603 ÷ 989 =
  33. 33.564709 ÷ 997 =
  34. 34.479008 ÷ 988 =
  35. 35.29053 ÷ 97 =
  36. 36.98202 ÷ 97 =
  37. 37.17399 ÷ 997 =
  38. 38.969999 ÷ 997 =
  39. 39.569568 ÷ 988 =
  40. 40.34879 ÷ 88 =

Answer key

  1. 729 rem 17
  2. 799 rem 596
  3. 35 rem 25
  4. 944 rem 25
  5. 395 rem 66
  6. 622 rem 69
  7. 399 rem 29
  8. 822 rem 25
  9. 816 rem 6
  10. 1013 rem 16
  11. 175 rem 51
  12. 242 rem 356
  13. 428 rem 51
  14. 879 rem 19
  15. 977 rem 10
  16. 590 rem 122
  17. 415 rem 422
  18. 406 rem 714
  19. 1100 rem 50
  20. 60 rem 709
  21. 380 rem 8
  22. 592 rem 60
  23. 135 rem 497
  24. 654 rem 37
  25. 27 rem 67
  26. 578 rem 41
  27. 72 rem 40
  28. 810 rem 6
  29. 545 rem 5
  30. 865 rem 17
  31. 141 rem 71
  32. 431 rem 344
  33. 566 rem 407
  34. 484 rem 816
  35. 299 rem 50
  36. 1012 rem 38
  37. 17 rem 450
  38. 972 rem 915
  39. 576 rem 480
  40. 396 rem 31

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