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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 176 · 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. 1.52550 ÷ 97 =
  2. 2.16475 ÷ 98 =
  3. 3.863756 ÷ 897 =
  4. 4.70583 ÷ 96 =
  5. 5.77612 ÷ 98 =
  6. 6.22982 ÷ 89 =
  7. 7.236117 ÷ 988 =
  8. 8.46679 ÷ 997 =
  9. 9.80233 ÷ 96 =
  10. 10.1848 ÷ 98 =
  11. 11.56144 ÷ 97 =
  12. 12.41568 ÷ 96 =
  13. 13.14082 ÷ 989 =
  14. 14.78080 ÷ 89 =
  15. 15.1968 ÷ 97 =
  16. 16.41309 ÷ 997 =
  17. 17.95727 ÷ 98 =
  18. 18.15533 ÷ 96 =
  19. 19.134993 ÷ 988 =
  20. 20.12777 ÷ 89 =
  21. 21.78313 ÷ 97 =
  22. 22.34768 ÷ 997 =
  23. 23.210681 ÷ 989 =
  24. 24.60830 ÷ 89 =
  25. 25.98250 ÷ 97 =
  26. 26.2044 ÷ 8 =
  27. 27.11851 ÷ 88 =
  28. 28.545688 ÷ 998 =
  29. 29.743489 ÷ 897 =
  30. 30.17752 ÷ 88 =
  31. 31.27490 ÷ 97 =
  32. 32.412883 ÷ 997 =
  33. 33.17948 ÷ 96 =
  34. 34.940282 ÷ 997 =
  35. 35.582295 ÷ 897 =
  36. 36.4755 ÷ 8 =
  37. 37.924059 ÷ 988 =
  38. 38.20222 ÷ 97 =
  39. 39.15215 ÷ 96 =
  40. 40.24801 ÷ 96 =

Answer key

  1. 541 rem 73
  2. 168 rem 11
  3. 962 rem 842
  4. 735 rem 23
  5. 791 rem 94
  6. 258 rem 20
  7. 238 rem 973
  8. 46 rem 817
  9. 835 rem 73
  10. 18 rem 84
  11. 578 rem 78
  12. 433 rem 0
  13. 14 rem 236
  14. 877 rem 27
  15. 20 rem 28
  16. 41 rem 432
  17. 976 rem 79
  18. 161 rem 77
  19. 136 rem 625
  20. 143 rem 50
  21. 807 rem 34
  22. 34 rem 870
  23. 213 rem 24
  24. 683 rem 43
  25. 1012 rem 86
  26. 255 rem 4
  27. 134 rem 59
  28. 546 rem 780
  29. 828 rem 773
  30. 201 rem 64
  31. 283 rem 39
  32. 414 rem 125
  33. 186 rem 92
  34. 943 rem 111
  35. 649 rem 142
  36. 594 rem 3
  37. 935 rem 279
  38. 208 rem 46
  39. 158 rem 47
  40. 258 rem 33

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