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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 931 · 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. 1.9534 ÷ 8 =
  2. 2.34553 ÷ 98 =
  3. 3.509659 ÷ 997 =
  4. 4.631400 ÷ 988 =
  5. 5.97968 ÷ 988 =
  6. 6.898 ÷ 8 =
  7. 7.341399 ÷ 997 =
  8. 8.3952 ÷ 96 =
  9. 9.10806 ÷ 88 =
  10. 10.122470 ÷ 989 =
  11. 11.52666 ÷ 98 =
  12. 12.889339 ÷ 988 =
  13. 13.3888 ÷ 96 =
  14. 14.809669 ÷ 998 =
  15. 15.416054 ÷ 989 =
  16. 16.1506 ÷ 8 =
  17. 17.1225 ÷ 88 =
  18. 18.888785 ÷ 989 =
  19. 19.90658 ÷ 97 =
  20. 20.808039 ÷ 988 =
  21. 21.15554 ÷ 97 =
  22. 22.8596 ÷ 8 =
  23. 23.66878 ÷ 98 =
  24. 24.443913 ÷ 988 =
  25. 25.908283 ÷ 998 =
  26. 26.87974 ÷ 97 =
  27. 27.261403 ÷ 988 =
  28. 28.46360 ÷ 98 =
  29. 29.17092 ÷ 98 =
  30. 30.533230 ÷ 989 =
  31. 31.124579 ÷ 989 =
  32. 32.138056 ÷ 897 =
  33. 33.403784 ÷ 897 =
  34. 34.5872 ÷ 8 =
  35. 35.24379 ÷ 97 =
  36. 36.7690 ÷ 8 =
  37. 37.28077 ÷ 97 =
  38. 38.905189 ÷ 897 =
  39. 39.10722 ÷ 89 =
  40. 40.433836 ÷ 998 =

Answer key

  1. 1191 rem 6
  2. 352 rem 57
  3. 511 rem 192
  4. 639 rem 68
  5. 99 rem 156
  6. 112 rem 2
  7. 342 rem 425
  8. 41 rem 16
  9. 122 rem 70
  10. 123 rem 823
  11. 537 rem 40
  12. 900 rem 139
  13. 40 rem 48
  14. 811 rem 291
  15. 420 rem 674
  16. 188 rem 2
  17. 13 rem 81
  18. 898 rem 663
  19. 934 rem 60
  20. 817 rem 843
  21. 160 rem 34
  22. 1074 rem 4
  23. 682 rem 42
  24. 449 rem 301
  25. 910 rem 103
  26. 906 rem 92
  27. 264 rem 571
  28. 473 rem 6
  29. 174 rem 40
  30. 539 rem 159
  31. 125 rem 954
  32. 153 rem 815
  33. 450 rem 134
  34. 734 rem 0
  35. 251 rem 32
  36. 961 rem 2
  37. 289 rem 44
  38. 1009 rem 116
  39. 120 rem 42
  40. 434 rem 704

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