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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 310 · 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. 1.75620 ÷ 89 =
  2. 2.769092 ÷ 989 =
  3. 3.330779 ÷ 897 =
  4. 4.8487 ÷ 88 =
  5. 5.564545 ÷ 897 =
  6. 6.230020 ÷ 998 =
  7. 7.152044 ÷ 997 =
  8. 8.73559 ÷ 88 =
  9. 9.38820 ÷ 98 =
  10. 10.571107 ÷ 997 =
  11. 11.6278 ÷ 98 =
  12. 12.999400 ÷ 997 =
  13. 13.3808 ÷ 8 =
  14. 14.4052 ÷ 8 =
  15. 15.243348 ÷ 997 =
  16. 16.876502 ÷ 897 =
  17. 17.18713 ÷ 97 =
  18. 18.85000 ÷ 96 =
  19. 19.301398 ÷ 997 =
  20. 20.90950 ÷ 89 =
  21. 21.51416 ÷ 96 =
  22. 22.46076 ÷ 98 =
  23. 23.78795 ÷ 97 =
  24. 24.643927 ÷ 998 =
  25. 25.68951 ÷ 89 =
  26. 26.410652 ÷ 998 =
  27. 27.81441 ÷ 96 =
  28. 28.2927 ÷ 96 =
  29. 29.882598 ÷ 997 =
  30. 30.64024 ÷ 98 =
  31. 31.61631 ÷ 97 =
  32. 32.219683 ÷ 988 =
  33. 33.159372 ÷ 997 =
  34. 34.312452 ÷ 997 =
  35. 35.26888 ÷ 88 =
  36. 36.32683 ÷ 97 =
  37. 37.291341 ÷ 997 =
  38. 38.97035 ÷ 97 =
  39. 39.24445 ÷ 89 =
  40. 40.27190 ÷ 97 =

Answer key

  1. 849 rem 59
  2. 777 rem 639
  3. 368 rem 683
  4. 96 rem 39
  5. 629 rem 332
  6. 230 rem 480
  7. 152 rem 500
  8. 835 rem 79
  9. 396 rem 12
  10. 572 rem 823
  11. 64 rem 6
  12. 1002 rem 406
  13. 476 rem 0
  14. 506 rem 4
  15. 244 rem 80
  16. 977 rem 133
  17. 192 rem 89
  18. 885 rem 40
  19. 302 rem 304
  20. 1021 rem 81
  21. 535 rem 56
  22. 470 rem 16
  23. 812 rem 31
  24. 645 rem 217
  25. 774 rem 65
  26. 411 rem 474
  27. 848 rem 33
  28. 30 rem 47
  29. 885 rem 253
  30. 653 rem 30
  31. 635 rem 36
  32. 222 rem 347
  33. 159 rem 849
  34. 313 rem 391
  35. 305 rem 48
  36. 336 rem 91
  37. 292 rem 217
  38. 1000 rem 35
  39. 274 rem 59
  40. 280 rem 30

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