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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 926 · 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. 1.69855 ÷ 96 =
  2. 2.754276 ÷ 998 =
  3. 3.94885 ÷ 89 =
  4. 4.619493 ÷ 997 =
  5. 5.974810 ÷ 997 =
  6. 6.56443 ÷ 98 =
  7. 7.45004 ÷ 98 =
  8. 8.44189 ÷ 88 =
  9. 9.808398 ÷ 897 =
  10. 10.907741 ÷ 997 =
  11. 11.45754 ÷ 88 =
  12. 12.522649 ÷ 998 =
  13. 13.241252 ÷ 998 =
  14. 14.98152 ÷ 88 =
  15. 15.36041 ÷ 96 =
  16. 16.54864 ÷ 88 =
  17. 17.260518 ÷ 897 =
  18. 18.74196 ÷ 989 =
  19. 19.991512 ÷ 998 =
  20. 20.141394 ÷ 988 =
  21. 21.3232 ÷ 97 =
  22. 22.970098 ÷ 997 =
  23. 23.60768 ÷ 96 =
  24. 24.18975 ÷ 88 =
  25. 25.3221 ÷ 8 =
  26. 26.9022 ÷ 88 =
  27. 27.90802 ÷ 96 =
  28. 28.96467 ÷ 89 =
  29. 29.15992 ÷ 96 =
  30. 30.12922 ÷ 98 =
  31. 31.88158 ÷ 96 =
  32. 32.4124 ÷ 8 =
  33. 33.67874 ÷ 98 =
  34. 34.285327 ÷ 988 =
  35. 35.838192 ÷ 897 =
  36. 36.7059 ÷ 8 =
  37. 37.18001 ÷ 96 =
  38. 38.1612 ÷ 8 =
  39. 39.9958 ÷ 8 =
  40. 40.904220 ÷ 997 =

Answer key

  1. 727 rem 63
  2. 755 rem 786
  3. 1066 rem 11
  4. 621 rem 356
  5. 977 rem 741
  6. 575 rem 93
  7. 459 rem 22
  8. 502 rem 13
  9. 901 rem 201
  10. 910 rem 471
  11. 519 rem 82
  12. 523 rem 695
  13. 241 rem 734
  14. 1115 rem 32
  15. 375 rem 41
  16. 623 rem 40
  17. 290 rem 388
  18. 75 rem 21
  19. 993 rem 498
  20. 143 rem 110
  21. 33 rem 31
  22. 973 rem 17
  23. 633 rem 0
  24. 215 rem 55
  25. 402 rem 5
  26. 102 rem 46
  27. 945 rem 82
  28. 1083 rem 80
  29. 166 rem 56
  30. 131 rem 84
  31. 918 rem 30
  32. 515 rem 4
  33. 692 rem 58
  34. 288 rem 783
  35. 934 rem 394
  36. 882 rem 3
  37. 187 rem 49
  38. 201 rem 4
  39. 1244 rem 6
  40. 906 rem 938

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