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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 655 · 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. 1.915564 ÷ 897 =
  2. 2.23586 ÷ 96 =
  3. 3.614079 ÷ 989 =
  4. 4.531482 ÷ 997 =
  5. 5.417809 ÷ 897 =
  6. 6.656540 ÷ 988 =
  7. 7.14600 ÷ 89 =
  8. 8.8666 ÷ 8 =
  9. 9.7682 ÷ 8 =
  10. 10.92568 ÷ 98 =
  11. 11.308013 ÷ 998 =
  12. 12.69569 ÷ 96 =
  13. 13.890514 ÷ 988 =
  14. 14.35378 ÷ 98 =
  15. 15.24554 ÷ 98 =
  16. 16.85625 ÷ 98 =
  17. 17.524417 ÷ 989 =
  18. 18.452605 ÷ 998 =
  19. 19.6249 ÷ 8 =
  20. 20.98588 ÷ 96 =
  21. 21.66778 ÷ 96 =
  22. 22.44833 ÷ 88 =
  23. 23.3990 ÷ 8 =
  24. 24.573142 ÷ 897 =
  25. 25.122989 ÷ 897 =
  26. 26.39980 ÷ 89 =
  27. 27.803461 ÷ 988 =
  28. 28.80856 ÷ 88 =
  29. 29.81800 ÷ 96 =
  30. 30.27733 ÷ 88 =
  31. 31.275002 ÷ 989 =
  32. 32.85877 ÷ 97 =
  33. 33.6512 ÷ 8 =
  34. 34.22877 ÷ 97 =
  35. 35.72416 ÷ 96 =
  36. 36.51377 ÷ 998 =
  37. 37.23577 ÷ 88 =
  38. 38.607 ÷ 8 =
  39. 39.72142 ÷ 89 =
  40. 40.55985 ÷ 89 =

Answer key

  1. 1020 rem 624
  2. 245 rem 66
  3. 620 rem 899
  4. 533 rem 81
  5. 465 rem 704
  6. 664 rem 508
  7. 164 rem 4
  8. 1083 rem 2
  9. 960 rem 2
  10. 944 rem 56
  11. 308 rem 629
  12. 724 rem 65
  13. 901 rem 326
  14. 361 rem 0
  15. 250 rem 54
  16. 873 rem 71
  17. 530 rem 247
  18. 453 rem 511
  19. 781 rem 1
  20. 1026 rem 92
  21. 695 rem 58
  22. 509 rem 41
  23. 498 rem 6
  24. 638 rem 856
  25. 137 rem 100
  26. 449 rem 19
  27. 813 rem 217
  28. 918 rem 72
  29. 852 rem 8
  30. 315 rem 13
  31. 278 rem 60
  32. 885 rem 32
  33. 814 rem 0
  34. 235 rem 82
  35. 754 rem 32
  36. 51 rem 479
  37. 267 rem 81
  38. 75 rem 7
  39. 810 rem 52
  40. 629 rem 4

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