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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 494 · 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. 1.3524 ÷ 8 =
  2. 2.63137 ÷ 98 =
  3. 3.53426 ÷ 997 =
  4. 4.72094 ÷ 96 =
  5. 5.354732 ÷ 988 =
  6. 6.10072 ÷ 96 =
  7. 7.60852 ÷ 97 =
  8. 8.2725 ÷ 8 =
  9. 9.860493 ÷ 897 =
  10. 10.90894 ÷ 88 =
  11. 11.40488 ÷ 98 =
  12. 12.961014 ÷ 997 =
  13. 13.5768 ÷ 89 =
  14. 14.79698 ÷ 98 =
  15. 15.503744 ÷ 988 =
  16. 16.838249 ÷ 998 =
  17. 17.4435 ÷ 8 =
  18. 18.416272 ÷ 998 =
  19. 19.6314 ÷ 97 =
  20. 20.9284 ÷ 98 =
  21. 21.68751 ÷ 97 =
  22. 22.78441 ÷ 97 =
  23. 23.9482 ÷ 8 =
  24. 24.546397 ÷ 988 =
  25. 25.13168 ÷ 88 =
  26. 26.278964 ÷ 998 =
  27. 27.5397 ÷ 8 =
  28. 28.418993 ÷ 988 =
  29. 29.305836 ÷ 997 =
  30. 30.54799 ÷ 89 =
  31. 31.64940 ÷ 96 =
  32. 32.683195 ÷ 997 =
  33. 33.140118 ÷ 988 =
  34. 34.724030 ÷ 997 =
  35. 35.90352 ÷ 96 =
  36. 36.2399 ÷ 8 =
  37. 37.69028 ÷ 97 =
  38. 38.98958 ÷ 88 =
  39. 39.982817 ÷ 998 =
  40. 40.76608 ÷ 97 =

Answer key

  1. 440 rem 4
  2. 644 rem 25
  3. 53 rem 585
  4. 750 rem 94
  5. 359 rem 40
  6. 104 rem 88
  7. 627 rem 33
  8. 340 rem 5
  9. 959 rem 270
  10. 1032 rem 78
  11. 413 rem 14
  12. 963 rem 903
  13. 64 rem 72
  14. 813 rem 24
  15. 509 rem 852
  16. 839 rem 927
  17. 554 rem 3
  18. 417 rem 106
  19. 65 rem 9
  20. 94 rem 72
  21. 708 rem 75
  22. 808 rem 65
  23. 1185 rem 2
  24. 553 rem 33
  25. 149 rem 56
  26. 279 rem 522
  27. 674 rem 5
  28. 424 rem 81
  29. 306 rem 754
  30. 615 rem 64
  31. 676 rem 44
  32. 685 rem 250
  33. 141 rem 810
  34. 726 rem 208
  35. 941 rem 16
  36. 299 rem 7
  37. 711 rem 61
  38. 1124 rem 46
  39. 984 rem 785
  40. 789 rem 75

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