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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 632 · 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. 1.7109 ÷ 8 =
  2. 2.181539 ÷ 997 =
  3. 3.85786 ÷ 98 =
  4. 4.36703 ÷ 98 =
  5. 5.902924 ÷ 989 =
  6. 6.788204 ÷ 997 =
  7. 7.6102 ÷ 98 =
  8. 8.466198 ÷ 998 =
  9. 9.85521 ÷ 98 =
  10. 10.296223 ÷ 897 =
  11. 11.720296 ÷ 989 =
  12. 12.982851 ÷ 997 =
  13. 13.16799 ÷ 96 =
  14. 14.700259 ÷ 998 =
  15. 15.683899 ÷ 989 =
  16. 16.88891 ÷ 88 =
  17. 17.1982 ÷ 8 =
  18. 18.6391 ÷ 98 =
  19. 19.4053 ÷ 8 =
  20. 20.54747 ÷ 989 =
  21. 21.154511 ÷ 988 =
  22. 22.55889 ÷ 96 =
  23. 23.56681 ÷ 88 =
  24. 24.18217 ÷ 96 =
  25. 25.320552 ÷ 988 =
  26. 26.28523 ÷ 89 =
  27. 27.249916 ÷ 998 =
  28. 28.96158 ÷ 98 =
  29. 29.695537 ÷ 989 =
  30. 30.29570 ÷ 89 =
  31. 31.217086 ÷ 988 =
  32. 32.675733 ÷ 989 =
  33. 33.402141 ÷ 997 =
  34. 34.64688 ÷ 98 =
  35. 35.386611 ÷ 998 =
  36. 36.44018 ÷ 98 =
  37. 37.611194 ÷ 998 =
  38. 38.46835 ÷ 97 =
  39. 39.48703 ÷ 96 =
  40. 40.33762 ÷ 998 =

Answer key

  1. 888 rem 5
  2. 182 rem 85
  3. 875 rem 36
  4. 374 rem 51
  5. 912 rem 956
  6. 790 rem 574
  7. 62 rem 26
  8. 467 rem 132
  9. 872 rem 65
  10. 330 rem 213
  11. 728 rem 304
  12. 985 rem 806
  13. 174 rem 95
  14. 701 rem 661
  15. 691 rem 500
  16. 1010 rem 11
  17. 247 rem 6
  18. 65 rem 21
  19. 506 rem 5
  20. 55 rem 352
  21. 156 rem 383
  22. 582 rem 17
  23. 644 rem 9
  24. 189 rem 73
  25. 324 rem 440
  26. 320 rem 43
  27. 250 rem 416
  28. 981 rem 20
  29. 703 rem 270
  30. 332 rem 22
  31. 219 rem 714
  32. 683 rem 246
  33. 403 rem 350
  34. 660 rem 8
  35. 387 rem 385
  36. 449 rem 16
  37. 612 rem 418
  38. 482 rem 81
  39. 507 rem 31
  40. 33 rem 828

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