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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 910 · 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. 1.959300 ÷ 997 =
  2. 2.41991 ÷ 97 =
  3. 3.23406 ÷ 89 =
  4. 4.2594 ÷ 8 =
  5. 5.100699 ÷ 989 =
  6. 6.33521 ÷ 88 =
  7. 7.623514 ÷ 897 =
  8. 8.902142 ÷ 897 =
  9. 9.558672 ÷ 988 =
  10. 10.1146 ÷ 88 =
  11. 11.21992 ÷ 96 =
  12. 12.531424 ÷ 989 =
  13. 13.57708 ÷ 96 =
  14. 14.43526 ÷ 97 =
  15. 15.370329 ÷ 997 =
  16. 16.43798 ÷ 96 =
  17. 17.19611 ÷ 98 =
  18. 18.562682 ÷ 988 =
  19. 19.470026 ÷ 897 =
  20. 20.47760 ÷ 97 =
  21. 21.57390 ÷ 88 =
  22. 22.88293 ÷ 89 =
  23. 23.377523 ÷ 998 =
  24. 24.50282 ÷ 88 =
  25. 25.315770 ÷ 989 =
  26. 26.44291 ÷ 97 =
  27. 27.52807 ÷ 96 =
  28. 28.26205 ÷ 88 =
  29. 29.37811 ÷ 88 =
  30. 30.447642 ÷ 897 =
  31. 31.54575 ÷ 88 =
  32. 32.50685 ÷ 96 =
  33. 33.53552 ÷ 97 =
  34. 34.58682 ÷ 88 =
  35. 35.80360 ÷ 97 =
  36. 36.73609 ÷ 96 =
  37. 37.261832 ÷ 988 =
  38. 38.51781 ÷ 88 =
  39. 39.85793 ÷ 98 =
  40. 40.77791 ÷ 97 =

Answer key

  1. 962 rem 186
  2. 432 rem 87
  3. 262 rem 88
  4. 324 rem 2
  5. 101 rem 810
  6. 380 rem 81
  7. 695 rem 99
  8. 1005 rem 657
  9. 565 rem 452
  10. 13 rem 2
  11. 229 rem 8
  12. 537 rem 331
  13. 601 rem 12
  14. 448 rem 70
  15. 371 rem 442
  16. 456 rem 22
  17. 200 rem 11
  18. 569 rem 510
  19. 523 rem 895
  20. 492 rem 36
  21. 652 rem 14
  22. 992 rem 5
  23. 378 rem 279
  24. 571 rem 34
  25. 319 rem 279
  26. 456 rem 59
  27. 550 rem 7
  28. 297 rem 69
  29. 429 rem 59
  30. 499 rem 39
  31. 620 rem 15
  32. 527 rem 93
  33. 552 rem 8
  34. 666 rem 74
  35. 828 rem 44
  36. 766 rem 73
  37. 265 rem 12
  38. 588 rem 37
  39. 875 rem 43
  40. 801 rem 94

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