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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 791 · 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. 1.10520 ÷ 96 =
  2. 2.9233 ÷ 96 =
  3. 3.908383 ÷ 998 =
  4. 4.838689 ÷ 997 =
  5. 5.191524 ÷ 989 =
  6. 6.784 ÷ 8 =
  7. 7.199596 ÷ 997 =
  8. 8.746294 ÷ 989 =
  9. 9.726471 ÷ 997 =
  10. 10.199149 ÷ 997 =
  11. 11.12458 ÷ 88 =
  12. 12.39022 ÷ 98 =
  13. 13.145654 ÷ 989 =
  14. 14.9591 ÷ 8 =
  15. 15.76917 ÷ 96 =
  16. 16.351805 ÷ 997 =
  17. 17.95575 ÷ 97 =
  18. 18.8586 ÷ 8 =
  19. 19.188098 ÷ 988 =
  20. 20.359626 ÷ 988 =
  21. 21.46270 ÷ 89 =
  22. 22.3507 ÷ 88 =
  23. 23.53634 ÷ 89 =
  24. 24.56255 ÷ 88 =
  25. 25.89746 ÷ 98 =
  26. 26.222803 ÷ 998 =
  27. 27.71437 ÷ 88 =
  28. 28.22241 ÷ 96 =
  29. 29.2517 ÷ 8 =
  30. 30.3329 ÷ 98 =
  31. 31.73811 ÷ 897 =
  32. 32.951632 ÷ 998 =
  33. 33.7021 ÷ 8 =
  34. 34.12546 ÷ 96 =
  35. 35.48288 ÷ 88 =
  36. 36.628335 ÷ 989 =
  37. 37.331384 ÷ 989 =
  38. 38.40193 ÷ 89 =
  39. 39.124340 ÷ 989 =
  40. 40.80760 ÷ 89 =

Answer key

  1. 109 rem 56
  2. 96 rem 17
  3. 910 rem 203
  4. 841 rem 212
  5. 193 rem 647
  6. 98 rem 0
  7. 200 rem 196
  8. 754 rem 588
  9. 728 rem 655
  10. 199 rem 746
  11. 141 rem 50
  12. 398 rem 18
  13. 147 rem 271
  14. 1198 rem 7
  15. 801 rem 21
  16. 352 rem 861
  17. 985 rem 30
  18. 1073 rem 2
  19. 190 rem 378
  20. 363 rem 982
  21. 519 rem 79
  22. 39 rem 75
  23. 602 rem 56
  24. 639 rem 23
  25. 915 rem 76
  26. 223 rem 249
  27. 811 rem 69
  28. 231 rem 65
  29. 314 rem 5
  30. 33 rem 95
  31. 82 rem 257
  32. 953 rem 538
  33. 877 rem 5
  34. 130 rem 66
  35. 548 rem 64
  36. 635 rem 320
  37. 335 rem 69
  38. 451 rem 54
  39. 125 rem 715
  40. 907 rem 37

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